Journal of Pure and Applied Algebra最新文献_第2页

Positivity in T-equivariant K-theory of partial flag varieties associated to Kac-Moody groups 与Kac-Moody群相关的部分标志品种的t等变k理论的正性

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-06-09 DOI: 10.1016/j.jpaa.2025.108026

Joseph Compton, Shrawan Kumar

引用次数: 0

Bredon motivic cohomology of the real numbers 实数的布雷登动机上同

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-06-04 DOI: 10.1016/j.jpaa.2025.108016

Bill Deng, Mircea Voineagu

引用次数: 0

Codes and designs in Johnson graphs from symplectic actions on quadratic forms 二次型上的辛作用在Johnson图中的码与设计

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-30 DOI: 10.1016/j.jpaa.2025.108015

John Bamberg, Alice Devillers, Mark Ioppolo, Cheryl E. Praeger

{"title":"Codes and designs in Johnson graphs from symplectic actions on quadratic forms","authors":"John Bamberg, Alice Devillers, Mark Ioppolo, Cheryl E. Praeger","doi":"10.1016/j.jpaa.2025.108015","DOIUrl":"10.1016/j.jpaa.2025.108015","url":null,"abstract":"<div><div>The Johnson graph <span><math><mi>J</mi><mo>(</mo><mi>v</mi><mo>,</mo><mi>k</mi><mo>)</mo></math></span> has as vertices the <em>k</em>-subsets of <span><math><mi>V</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>v</mi><mo>}</mo></math></span>, and two vertices are joined by an edge if their intersection has size <span><math><mi>k</mi><mo>−</mo><mn>1</mn></math></span>. An <em>X-strongly incidence-transitive code</em> in <span><math><mi>J</mi><mo>(</mo><mi>v</mi><mo>,</mo><mi>k</mi><mo>)</mo></math></span> is a proper vertex subset Γ such that the subgroup <em>X</em> of graph automorphisms leaving Γ invariant is transitive on the set Γ of ‘codewords’, and for each codeword Δ, the setwise stabiliser <span><math><msub><mrow><mi>X</mi></mrow><mrow><mi>Δ</mi></mrow></msub></math></span> is transitive on <span><math><mi>Δ</mi><mo>×</mo><mo>(</mo><mi>V</mi><mo>∖</mo><mi>Δ</mi><mo>)</mo></math></span>. We classify the <em>X-strongly incidence-transitive codes</em> in <span><math><mi>J</mi><mo>(</mo><mi>v</mi><mo>,</mo><mi>k</mi><mo>)</mo></math></span> for which <em>X</em> is the symplectic group <span><math><msub><mrow><mi>Sp</mi></mrow><mrow><mn>2</mn><mi>n</mi></mrow></msub><mo>(</mo><mn>2</mn><mo>)</mo></math></span> acting as a 2-transitive permutation group of degree <span><math><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>±</mo><msup><mrow><mn>2</mn></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup></math></span>, where the stabiliser <span><math><msub><mrow><mi>X</mi></mrow><mrow><mi>Δ</mi></mrow></msub></math></span> of a codeword Δ is contained in a <em>geometric</em> maximal subgroup of <em>X</em>. In particular, we construct two new infinite families of strongly incidence-transitive codes associated with the reducible maximal subgroups of <span><math><msub><mrow><mi>Sp</mi></mrow><mrow><mn>2</mn><mi>n</mi></mrow></msub><mo>(</mo><mn>2</mn><mo>)</mo></math></span>.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 9","pages":"Article 108015"},"PeriodicalIF":0.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144230517","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

Corrigendum and addendum to “Transitive permutation groups where nontrivial elements have at most two fixed points” [J. Pure Appl. Algebra 219(4) (2015) 729–759] “非平凡元最多有两个不动点的传递置换群”的勘误和补充[J]。纯粹的达成。代数219(4)(2015)729-759]

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-30 DOI: 10.1016/j.jpaa.2025.108006

Paula Hähndel, Rebecca Waldecker

引用次数: 0

The canonical ideal and the deformation theory of curves with automorphisms 具有自同构曲线的正则理想与变形理论

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-28 DOI: 10.1016/j.jpaa.2025.108002

Aristides Kontogeorgis, Alexios Terezakis

引用次数: 0

Polynomial differential systems with invariant algebraic curves of arbitrary degree formed by Legendre polynomials 具有由勒让德多项式构成的任意次不变代数曲线的多项式微分系统

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-28 DOI: 10.1016/j.jpaa.2025.108001

Jaume Llibre , Claudia Valls

{"title":"Polynomial differential systems with invariant algebraic curves of arbitrary degree formed by Legendre polynomials","authors":"Jaume Llibre , Claudia Valls","doi":"10.1016/j.jpaa.2025.108001","DOIUrl":"10.1016/j.jpaa.2025.108001","url":null,"abstract":"<div><div>In 1891 Poincaré asked: <em>Given</em> <span><math><mi>m</mi><mo>≥</mo><mn>2</mn></math></span><em>, is there a positive integer</em> <span><math><mi>M</mi><mo>(</mo><mi>m</mi><mo>)</mo></math></span> <em>such that if a polynomial differential system of degree m has an invariant algebraic curve of degree</em> <span><math><mo>≥</mo><mi>M</mi><mo>(</mo><mi>m</mi><mo>)</mo></math></span><em>, then it has a rational first integral?</em> Brunella and Mendes repeated the same open question in 2000, and Lins-Neto in 2002. Between the years 2001 and 2003 three different families of quadratic polynomial differential systems provided a negative answer to this question. One of the answers used the Hermite polynomials. Recently a new negative answer was provided for polynomial differential systems of arbitrary degree using the Laguerre polynomials.</div><div>In this paper we provide another new negative answer but using for first time the Legendre polynomials. So the orthogonal polynomials play a role in the Poincaré's question. Moreover we classify the phase portraits of these polynomial differential systems having invariant algebraic curves of arbitrary degree based on the Legendre polynomials.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 8","pages":"Article 108001"},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167248","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

Symmetric and exterior squares of hook representations 钩子表示的对称和外部正方形

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-27 DOI: 10.1016/j.jpaa.2025.108003

Szabolcs Mészáros , János Wolosz

引用次数: 0

Quantifier-free formulas and quantifier alternation depth in doctrines 无量词公式与量词交替的理论深度

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-27 DOI: 10.1016/j.jpaa.2025.108004

Marco Abbadini , Francesca Guffanti

{"title":"Quantifier-free formulas and quantifier alternation depth in doctrines","authors":"Marco Abbadini , Francesca Guffanti","doi":"10.1016/j.jpaa.2025.108004","DOIUrl":"10.1016/j.jpaa.2025.108004","url":null,"abstract":"<div><div>This paper aims to incorporate the notion of quantifier-free formulas modulo a first-order theory and the stratification of formulas by quantifier alternation depth modulo a first-order theory into the algebraic treatment of classical first-order logic.</div><div>The set of quantifier-free formulas modulo a theory is axiomatized by what we call a <em>quantifier-free fragment</em> of a Boolean doctrine with quantifiers. Rather than being an intrinsic notion, a quantifier-free fragment is an additional structure on a Boolean doctrine with quantifiers. Under a smallness assumption, the structures occurring as quantifier-free fragments of some Boolean doctrine with quantifiers are precisely the Boolean doctrines (without quantifiers). In particular, every Boolean doctrine over a small category is a quantifier-free fragment of its quantifier completion.</div><div>Furthermore, the sequences obtained by stratifying an algebra of formulas by quantifier alternation depth modulo a theory are axiomatized by what we call <em>QA-stratified Boolean doctrines</em>. While quantifier-free fragments are defined in relation to an “ambient” Boolean doctrine with quantifiers, a QA-stratified Boolean doctrine requires no such ambient doctrine, and it consists of a sequence of Boolean doctrines (without quantifiers) with connecting axioms. QA-stratified Boolean doctrines are in one-to-one correspondence with pairs consisting of a Boolean doctrine with quantifiers and a quantifier-free fragment of it.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 8","pages":"Article 108004"},"PeriodicalIF":0.7,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167253","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

The Grothendieck group of a triangulated category 三角分类的格罗滕迪克群

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-26 DOI: 10.1016/j.jpaa.2025.108005

Xiao-Wu Chen , Zhi-Wei Li , Xiaojin Zhang , Zhibing Zhao

引用次数: 0

Random unipotent Sylow subgroups of groups of Lie type of bounded rank 有界秩Lie型群的随机单幂Sylow子群

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-05-26 DOI: 10.1016/j.jpaa.2025.108007

Saveliy V. Skresanov

引用次数: 0