发布求助
文献互助 智能选刊 最新文献

Journal of Algebra最新文献

筛选
英文 中文
Colocalizing subcategories of singularity categories 奇异性范畴的同域子范畴
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-03 DOI: 10.1016/j.jalgebra.2024.08.029
{"title":"Colocalizing subcategories of singularity categories","authors":"","doi":"10.1016/j.jalgebra.2024.08.029","DOIUrl":"10.1016/j.jalgebra.2024.08.029","url":null,"abstract":"<div><p>Utilizing previously established results concerning costratification in relative tensor-triangular geometry, we classify the colocalizing subcategories of the singularity category of a locally hypersurface ring and then we generalize this classification to singularity categories of schemes with hypersurface singularities.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz 论罗亚谢维兹不等式和有效普提纳尔正定定理
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-02 DOI: 10.1016/j.jalgebra.2024.08.022
{"title":"On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz","authors":"","doi":"10.1016/j.jalgebra.2024.08.022","DOIUrl":"10.1016/j.jalgebra.2024.08.022","url":null,"abstract":"<div><p>The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answers. In this paper, we study the effective Putinar's Positivestellensatz on a compact basic semi-algebraic set <em>S</em> and provide a new proof and new improved bounds on the degree of the representation of positive polynomials. These new bounds involve a parameter <em>ε</em> measuring the non-vanishing of the positive function, the constant <span><math><mi>c</mi></math></span> and exponent <em>L</em> of a Łojasiewicz inequality for the semi-algebraic distance function associated to the inequalities <span><math><mi>g</mi><mo>=</mo><mo>(</mo><msub><mrow><mi>g</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mrow><mi>g</mi></mrow><mrow><mi>r</mi></mrow></msub><mo>)</mo></math></span> defining <em>S</em>. They are polynomial in <span><math><mi>c</mi></math></span> and <span><math><msup><mrow><mi>ε</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span> with an exponent depending only on <em>L</em>. We analyse in details the Łojasiewicz inequality when the defining inequalities <strong>g</strong> satisfy the Constraint Qualification Condition. We show that, in this case, the Łojasiewicz exponent <em>L</em> is 1 and we relate the Łojasiewicz constant <span><math><mi>c</mi></math></span> with the distance of <strong>g</strong> to the set of singular systems.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142167940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras 晶格顶点算子代数的完全无定点等值线和循环球面
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-02 DOI: 10.1016/j.jalgebra.2024.08.027
{"title":"Completely fixed point free isometry and cyclic orbifold of lattice vertex operator algebras","authors":"","doi":"10.1016/j.jalgebra.2024.08.027","DOIUrl":"10.1016/j.jalgebra.2024.08.027","url":null,"abstract":"<div><p>We continue our study of cyclic orbifolds of lattice vertex operator algebras and their full automorphism groups. We consider some special isometry <span><math><mi>g</mi><mo>∈</mo><mi>O</mi><mo>(</mo><mi>L</mi><mo>)</mo></math></span> such that <span><math><msup><mrow><mi>g</mi></mrow><mrow><mi>i</mi></mrow></msup></math></span> is fixed point free on <em>L</em> for any <span><math><mn>1</mn><mo>≤</mo><mi>i</mi><mo>≤</mo><mo>|</mo><mi>g</mi><mo>|</mo><mo>−</mo><mn>1</mn></math></span>. We show that when <span><math><mi>L</mi><mo>(</mo><mn>2</mn><mo>)</mo><mo>=</mo><mo>∅</mo></math></span> and <span><math><msup><mrow><mi>g</mi></mrow><mrow><mi>i</mi></mrow></msup></math></span> is fixed point free on <em>L</em> for any <span><math><mn>1</mn><mo>≤</mo><mi>i</mi><mo>≤</mo><mo>|</mo><mi>g</mi><mo>|</mo><mo>−</mo><mn>1</mn></math></span>, <span><math><msubsup><mrow><mi>V</mi></mrow><mrow><mi>L</mi></mrow><mrow><mover><mrow><mi>g</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></mrow></msubsup></math></span> has extra automorphisms implies either (1) the order of <em>g</em> is a prime or (2) <em>L</em> is isometric to the Leech lattice or some coinvariant sublattices of the Leech lattice.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the structure of left braces satisfying the minimal condition for subbraces 论满足子括号最小条件的左括号的结构
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-02 DOI: 10.1016/j.jalgebra.2024.08.011
{"title":"On the structure of left braces satisfying the minimal condition for subbraces","authors":"","doi":"10.1016/j.jalgebra.2024.08.011","DOIUrl":"10.1016/j.jalgebra.2024.08.011","url":null,"abstract":"<div><p>We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as the left braces with Chernikov additive group. We also present an example of left braces satisfying the minimal condition for ideals, but that do not satisfy the minimal condition for subbraces.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S002186932400468X/pdfft?md5=cc3752b9fe5aa7875c88a19194a51900&pid=1-s2.0-S002186932400468X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized binomial edge ideals of bipartite graphs 二叉图的广义二项式边理想
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-02 DOI: 10.1016/j.jalgebra.2024.08.026
{"title":"Generalized binomial edge ideals of bipartite graphs","authors":"","doi":"10.1016/j.jalgebra.2024.08.026","DOIUrl":"10.1016/j.jalgebra.2024.08.026","url":null,"abstract":"<div><p>Connected bipartite graphs whose binomial edge ideals are Cohen–Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo–Mumford regularity, and dimension of the generalized binomial edge ideals of these graphs.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boij-Söderberg conjectures for differential modules 微分模块的 Boij-Söderberg 猜想
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-09-02 DOI: 10.1016/j.jalgebra.2024.08.025
{"title":"Boij-Söderberg conjectures for differential modules","authors":"","doi":"10.1016/j.jalgebra.2024.08.025","DOIUrl":"10.1016/j.jalgebra.2024.08.025","url":null,"abstract":"<div><p>Boij-Söderberg theory gives a combinatorial description of the set of Betti tables belonging to finite length modules over the polynomial ring <span><math><mi>S</mi><mo>=</mo><mi>k</mi><mo>[</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mrow><mi>x</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>]</mo></math></span>. We posit that a similar combinatorial description can be given for analogous numerical invariants of <em>graded differential S-modules</em>, which are natural generalizations of chain complexes. We prove several results that lend evidence in support of this conjecture, including a categorical pairing between the derived categories of graded differential <em>S</em>-modules and coherent sheaves on <span><math><msup><mrow><mi>P</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup></math></span> and a proof of the conjecture in the case where <span><math><mi>S</mi><mo>=</mo><mi>k</mi><mo>[</mo><mi>t</mi><mo>]</mo></math></span>.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021869324004836/pdfft?md5=9ddb8d758d9e4041c890ffa8ca30c4c1&pid=1-s2.0-S0021869324004836-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142173780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Representations of the rational Cherednik algebra Ht,c(S3,h) in positive characteristic 有理切列尼克代数 Ht,c(S3,h)在正特征中的表示
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-08-30 DOI: 10.1016/j.jalgebra.2024.08.014
{"title":"Representations of the rational Cherednik algebra Ht,c(S3,h) in positive characteristic","authors":"","doi":"10.1016/j.jalgebra.2024.08.014","DOIUrl":"10.1016/j.jalgebra.2024.08.014","url":null,"abstract":"<div><p>We study the rational Cherednik algebra <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>t</mi><mo>,</mo><mi>c</mi></mrow></msub><mo>(</mo><msub><mrow><mi>S</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>,</mo><mi>h</mi><mo>)</mo></math></span> of type <span><math><msub><mrow><mi>A</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> in positive characteristic <em>p</em>, and its irreducible category <span><math><mi>O</mi></math></span> representations <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>t</mi><mo>,</mo><mi>c</mi></mrow></msub><mo>(</mo><mi>τ</mi><mo>)</mo></math></span>. For every possible value of <span><math><mi>p</mi><mo>,</mo><mi>t</mi><mo>,</mo><mi>c</mi></math></span>, and <em>τ</em> we calculate the Hilbert polynomial and the character of <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>t</mi><mo>,</mo><mi>c</mi></mrow></msub><mo>(</mo><mi>τ</mi><mo>)</mo></math></span>, and give explicit generators of the maximal proper graded submodule of the Verma module.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021869324004691/pdfft?md5=05b5b7def2f1dc1cc017665e423dba06&pid=1-s2.0-S0021869324004691-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142150738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model-theoretic properties of nilpotent groups and Lie algebras 零能群和李代数的模型理论性质
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-08-30 DOI: 10.1016/j.jalgebra.2024.08.012
{"title":"Model-theoretic properties of nilpotent groups and Lie algebras","authors":"","doi":"10.1016/j.jalgebra.2024.08.012","DOIUrl":"10.1016/j.jalgebra.2024.08.012","url":null,"abstract":"<div><p>We give a systematic study of the model theory of generic nilpotent groups and Lie algebras. We show that the Fraïssé limit of 2-nilpotent groups of exponent <em>p</em> studied by Baudisch is 2-dependent and NSOP<sub>1</sub>. We prove that the class of <em>c</em>-nilpotent Lie algebras over an arbitrary field, in a language with predicates for a Lazard series, is closed under free amalgamation. We show that for <span><math><mn>2</mn><mo>&lt;</mo><mi>c</mi></math></span>, the generic <em>c</em>-nilpotent Lie algebra over <span><math><msub><mrow><mi>F</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> is strictly NSOP<sub>4</sub> and <em>c</em>-dependent. Via the Lazard correspondence, we obtain the same result for <em>c</em>-nilpotent groups of exponent <em>p</em>, for an odd prime <span><math><mi>p</mi><mo>&gt;</mo><mi>c</mi></math></span>.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups 有限全变换半群变体的最大正则子半群的协整性
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-08-30 DOI: 10.1016/j.jalgebra.2024.08.017
{"title":"Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups","authors":"","doi":"10.1016/j.jalgebra.2024.08.017","DOIUrl":"10.1016/j.jalgebra.2024.08.017","url":null,"abstract":"<div><p>Let <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow></msub></math></span> be the full transformation monoid over a finite set <em>X</em>, and fix some <span><math><mi>a</mi><mo>∈</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow></msub></math></span> of rank <em>r</em>. The variant <span><math><msubsup><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow><mrow><mi>a</mi></mrow></msubsup></math></span> has underlying set <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow></msub></math></span>, and operation <span><math><mi>f</mi><mo>⋆</mo><mi>g</mi><mo>=</mo><mi>f</mi><mi>a</mi><mi>g</mi></math></span>. We study the congruences of the subsemigroup <span><math><mi>P</mi><mo>=</mo><mi>Reg</mi><mo>(</mo><msubsup><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow><mrow><mi>a</mi></mrow></msubsup><mo>)</mo></math></span> consisting of all regular elements of <span><math><msubsup><mrow><mi>T</mi></mrow><mrow><mi>X</mi></mrow><mrow><mi>a</mi></mrow></msubsup></math></span>, and the lattice <span><math><mi>Cong</mi><mo>(</mo><mi>P</mi><mo>)</mo></math></span> of all such congruences. Our main structure theorem ultimately decomposes <span><math><mi>Cong</mi><mo>(</mo><mi>P</mi><mo>)</mo></math></span> as a specific subdirect product of <span><math><mi>Cong</mi><mo>(</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>r</mi></mrow></msub><mo>)</mo></math></span>, and the full equivalence relation lattices of certain combinatorial systems of subsets and partitions. We use this to give an explicit classification of the congruences themselves, and we also give a formula for the height of the lattice.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S002186932400471X/pdfft?md5=f300186c5fdab6c0805d1ebb60eb60b0&pid=1-s2.0-S002186932400471X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142162677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Universally injective and integral contractions on relative Lipschitz saturation of algebras 代数的相对 Lipschitz 饱和上的普遍注入和积分收缩
IF 0.8 2区 数学
Journal of Algebra Pub Date : 2024-08-30 DOI: 10.1016/j.jalgebra.2024.08.024
{"title":"Universally injective and integral contractions on relative Lipschitz saturation of algebras","authors":"","doi":"10.1016/j.jalgebra.2024.08.024","DOIUrl":"10.1016/j.jalgebra.2024.08.024","url":null,"abstract":"<div><p>In this work, we obtain contraction results for a class of diagrams of ring morphisms which strictly includes the ones obtained by Lipman. Further, we present some applications on quotient and in the changing of the base ring in the saturation.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信