Journal of Pure and Applied Algebra最新文献_第10页

Rings of almost everywhere defined functions

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2024.107851

Matthias Schötz

引用次数: 0

Fano manifolds whose Chern characters satisfy some positivity conditions

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2025.107865

Taku Suzuki

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Retraction notice to “On the fifth Singer algebraic transfer in a generic family of internal degree characterized by μ(n)=4” [J. Pure Appl. Algebra 228 (2024) 107658]

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2025.107873

Đặng Võ Phúc

{"title":"Retraction notice to “On the fifth Singer algebraic transfer in a generic family of internal degree characterized by μ(n)=4” [J. Pure Appl. Algebra 228 (2024) 107658]","authors":"Đặng Võ Phúc","doi":"10.1016/j.jpaa.2025.107873","DOIUrl":"10.1016/j.jpaa.2025.107873","url":null,"abstract":"<div><div>This article has been retracted: please see Elsevier Policy on Article Withdrawal (<span><span>https://www.elsevier.com/about/policies/article-withdrawal</span><svg><path></path></svg></span>).</div><div>This article has been retracted at the request of the Editors-in-Chief.</div><div>Many of the results in this paper are false, including the main result (Theorem 1.3), whose proof has a mistake, and several of its consequences are asserted without proof. In a letter to the Editors providing comments to the paper, a colleague pointed out that a proof is only provided for the cases <span><math><mo>(</mo><mi>k</mi><mo>,</mo><mi>s</mi><mo>)</mo><mo>=</mo><mo>(</mo><mn>8</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> and <span><math><mo>(</mo><mn>10</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></span>, asserting that the main result is false for <span><math><mo>(</mo><mi>k</mi><mo>,</mo><mi>s</mi><mo>)</mo><mo>=</mo><mo>(</mo><mn>8</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> and also incomplete for <span><math><mo>(</mo><mn>10</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></span>. No proof is given for <span><math><mi>s</mi><mo>></mo><mn>2</mn></math></span>.</div><div>A detailed assessment by independent referees created reasonable doubt that the author's results were correct.</div><div>The Corrigendum to this article does not provide any proofs, but points out an “inaccuracy” in a different part of the paper (Cor. 1.11).</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 1","pages":"Article 107873"},"PeriodicalIF":0.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143099043","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

Directed graphs, Frattini-resistance, and maximal pro-p Galois groups

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2024.107857

Claudio Quadrelli

引用次数: 0

The multiple holomorph of centerless groups

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2024.107843

Cindy (Sin Yi) Tsang

{"title":"The multiple holomorph of centerless groups","authors":"Cindy (Sin Yi) Tsang","doi":"10.1016/j.jpaa.2024.107843","DOIUrl":"10.1016/j.jpaa.2024.107843","url":null,"abstract":"<div><div>Let <em>G</em> be a group. The holomorph <span><math><mrow><mi>Hol</mi></mrow><mo>(</mo><mi>G</mi><mo>)</mo></math></span> of <em>G</em> may be defined as the normalizer of the subgroup of either left or right translations in the group of all permutations of <em>G</em>. The multiple holomorph <span><math><mrow><mi>NHol</mi></mrow><mo>(</mo><mi>G</mi><mo>)</mo></math></span> is in turn defined as the normalizer of the holomorph. Their quotient <span><math><mi>T</mi><mo>(</mo><mi>G</mi><mo>)</mo><mo>=</mo><mrow><mi>NHol</mi></mrow><mo>(</mo><mi>G</mi><mo>)</mo><mo>/</mo><mrow><mi>Hol</mi></mrow><mo>(</mo><mi>G</mi><mo>)</mo></math></span> has been computed for various families of groups <em>G</em>. In this paper, we consider the case when <em>G</em> is centerless, and we show that <span><math><mi>T</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> must have exponent at most 2 unless <em>G</em> satisfies some fairly strong conditions. As applications of our main theorem, we are able to show that <span><math><mi>T</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> has order 2 for all almost simple groups <em>G</em>, and that <span><math><mi>T</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> has exponent at most 2 for all centerless perfect or complete groups <em>G</em>.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 1","pages":"Article 107843"},"PeriodicalIF":0.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143094011","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

Relative extensions and cohomology of profinite groups

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2025-01-01 DOI: 10.1016/j.jpaa.2024.107846

Gareth Wilkes

引用次数: 0

On irreducibility of modules of Whittaker type: Twisted modules and nonabelian orbifolds 关于惠特克型模块的不可还原性：扭曲模块与非阿贝尔轨道折线

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2024-11-14 DOI: 10.1016/j.jpaa.2024.107840

Dražen Adamović , Ching Hung Lam , Veronika Pedić Tomić , Nina Yu

{"title":"On irreducibility of modules of Whittaker type: Twisted modules and nonabelian orbifolds","authors":"Dražen Adamović , Ching Hung Lam , Veronika Pedić Tomić , Nina Yu","doi":"10.1016/j.jpaa.2024.107840","DOIUrl":"10.1016/j.jpaa.2024.107840","url":null,"abstract":"<div><div>In <span><span>[1]</span></span>, we extended the Dong-Mason theorem on irreducibility of modules for cyclic orbifold vertex algebras (cf. <span><span>[12]</span></span>) to the entire category of weak modules and applied this result to Whittaker modules. In this paper, we present further generalizations of these results for nonabelian orbifolds of vertex operator superalgebras. Let <em>V</em> be a vertex superalgebra of a countable dimension and let <em>G</em> be a finite subgroup of <span><math><mrow><mi>Aut</mi></mrow><mo>(</mo><mi>V</mi><mo>)</mo></math></span>. Assume that <span><math><mi>h</mi><mo>∈</mo><mi>Z</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> where <span><math><mi>Z</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> is the center of the group <em>G</em>. For any irreducible <em>h</em>–twisted (weak) <em>V</em>–module <em>M</em>, we prove that if <span><math><mi>M</mi><mo>≇</mo><mi>g</mi><mo>∘</mo><mi>M</mi></math></span> for all <span><math><mi>g</mi><mo>∈</mo><mi>G</mi></math></span> then <em>M</em> is also irreducible as <span><math><msup><mrow><mi>V</mi></mrow><mrow><mi>G</mi></mrow></msup></math></span>–module. We also apply this result to examples and give irreducibility of modules of Whittaker type for orbifolds of Neveu-Schwarz vertex superalgebras, Heisenberg vertex algebras, Virasoro vertex operator algebra and Heisenberg-Virasoro vertex algebra.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 1","pages":"Article 107840"},"PeriodicalIF":0.7,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142723156","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 cohomology of Lie algebras associated with graphs 论与图相关的李代数同调

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2024-11-14 DOI: 10.1016/j.jpaa.2024.107838

Marco Aldi , Andrew Butler , Jordan Gardiner , Daniele Grandini , Monica Lichtenwalner , Kevin Pan

引用次数: 0

Normalizer quotients of symmetric groups and inner holomorphs 对称群的归一化商与内全形

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2024-11-13 DOI: 10.1016/j.jpaa.2024.107839

Alexei Entin , Cindy (Sin Yi) Tsang

引用次数: 0

Laumon parahoric local models via quiver Grassmannians 通过四维格拉斯曼的劳蒙准局部模型

IF 0.7 2区数学

Journal of Pure and Applied Algebra Pub Date : 2024-11-05 DOI: 10.1016/j.jpaa.2024.107837

Evgeny Feigin , Martina Lanini , Alexander Pütz

引用次数: 0