Pub Date : 2024-08-13DOI: 10.1080/00927872.2024.2388286
Stefan Catoiu, Ian M. Musson
For a simple Lie algebra, Shapovalov elements give rise to highest weight vectors in Verma modules. The usual construction of these elements uses induction on the length of a certain Weyl group ele...
{"title":"Shapovalov elements for Uq(sl(N+1))","authors":"Stefan Catoiu, Ian M. Musson","doi":"10.1080/00927872.2024.2388286","DOIUrl":"https://doi.org/10.1080/00927872.2024.2388286","url":null,"abstract":"For a simple Lie algebra, Shapovalov elements give rise to highest weight vectors in Verma modules. The usual construction of these elements uses induction on the length of a certain Weyl group ele...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-12DOI: 10.1080/00927872.2024.2377397
Alexander Montoya Ocampo, Fernando Szechtman
Given positive integers p and m, where p is assumed to be an odd prime, we determine the automorphism groups of p-groups J, H, and K of orders p7m , p6m , and p5m , and nilpotency classes 5, 4, and...
给定正整数 p 和 m（假设 p 为奇数素数），我们确定了 p 群 J、H 和 K 的自变群，它们的阶数分别为 p7m、p6m 和 p5m，零势类分别为 5、4 和...
{"title":"The automorphism group of finite p-groups associated to the Macdonald group","authors":"Alexander Montoya Ocampo, Fernando Szechtman","doi":"10.1080/00927872.2024.2377397","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377397","url":null,"abstract":"Given positive integers p and m, where p is assumed to be an odd prime, we determine the automorphism groups of p-groups J, H, and K of orders p7m , p6m , and p5m , and nilpotency classes 5, 4, and...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-10DOI: 10.1080/00927872.2024.2387050
Emma Groves, Kailash C. Misra, Ernest Stitzinger
{"title":"Subinvariance and ascendancy in Leibniz Algebras","authors":"Emma Groves, Kailash C. Misra, Ernest Stitzinger","doi":"10.1080/00927872.2024.2387050","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387050","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141919408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-10DOI: 10.1080/00927872.2024.2387050
Emma Groves, Kailash C. Misra, Ernest Stitzinger
{"title":"Subinvariance and ascendancy in Leibniz Algebras","authors":"Emma Groves, Kailash C. Misra, Ernest Stitzinger","doi":"10.1080/00927872.2024.2387050","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387050","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141919893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-10DOI: 10.1080/00927872.2024.2387052
Zhenggang He
Let (C,E,s) be an extriangulated category with a proper class ξ of E-triangles. In this paper, we study Gorenstein derived functors for extriangulated categories. More precisely, we first introduce...
设（C,E,s）是一个具有 E 三角形的适当类 ξ 的外切范畴。在本文中，我们将研究外切范畴的戈伦斯坦派生函数。更确切地说，我们首先介绍了...
{"title":"Gorenstein derived functors for extriangulated categories","authors":"Zhenggang He","doi":"10.1080/00927872.2024.2387052","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387052","url":null,"abstract":"Let (C,E,s) be an extriangulated category with a proper class ξ of E-triangles. In this paper, we study Gorenstein derived functors for extriangulated categories. More precisely, we first introduce...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-08DOI: 10.1080/00927872.2024.2377807
Refail Alizade, Müge Diril, Yılmaz Durǧun
{"title":"Subinjective portfolios and rings with a linearly ordered subinjective profile","authors":"Refail Alizade, Müge Diril, Yılmaz Durǧun","doi":"10.1080/00927872.2024.2377807","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377807","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141927587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-08DOI: 10.1080/00927872.2024.2383362
Yucong Du, Yanjun Liu
{"title":"The Steinberg character in the principal block of a finite reductive group","authors":"Yucong Du, Yanjun Liu","doi":"10.1080/00927872.2024.2383362","DOIUrl":"https://doi.org/10.1080/00927872.2024.2383362","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141926266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-07DOI: 10.1080/00927872.2024.2383368
Mauricio Medina-Bárcenas, Hugo Rincón-Mejía
In a previous work, (dual)-m -Rickart lattices were studied. Now, in this paper, we introduce m -endoregular lattices as those lattices L such that m is a regular monoid, where m is a submonoid ...
在之前的工作中，我们研究了 (dual)-m -Rickart 网格。现在，我们在本文中引入 m -endoregular 网格，即那些 m 是正则单体的网格 L，其中 m 是子单体 ...
{"title":"𝔐-Endoregular lattices","authors":"Mauricio Medina-Bárcenas, Hugo Rincón-Mejía","doi":"10.1080/00927872.2024.2383368","DOIUrl":"https://doi.org/10.1080/00927872.2024.2383368","url":null,"abstract":"In a previous work, (dual)-m -Rickart lattices were studied. Now, in this paper, we introduce m -endoregular lattices as those lattices L such that m is a regular monoid, where m is a submonoid ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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