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Communications in Algebra最新文献

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Shapovalov elements for Uq(sl(N+1)) Uq(sl(N+1)) 的沙波瓦洛夫元素
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-13 DOI: 10.1080/00927872.2024.2388286
Stefan Catoiu, Ian M. Musson
{"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":"1 1","pages":""},"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}
引用次数: 0
The automorphism group of finite p-groups associated to the Macdonald group 与麦克唐纳群相关的有限 p 群的自变群
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-12 DOI: 10.1080/00927872.2024.2377397
Alexander Montoya Ocampo, Fernando Szechtman
{"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":"19 1","pages":""},"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}
引用次数: 0
Gorenstein derived functors for extriangulated categories 外切范畴的戈伦斯坦派生函数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-10 DOI: 10.1080/00927872.2024.2387052
Zhenggang He
{"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":"26 1","pages":""},"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}
引用次数: 0
𝔐-Endoregular lattices 𝔐-内等网格
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-07 DOI: 10.1080/00927872.2024.2383368
Mauricio Medina-Bárcenas, Hugo Rincón-Mejía
{"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":"7 1","pages":""},"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}
引用次数: 0
Sharp permutation groups whose point stabilizers are Frobenius groups with cyclic Frobenius kernel 其点稳定子为具有循环弗罗贝尼斯核的弗罗贝尼斯群的尖顶置换群
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-06 DOI: 10.1080/00927872.2024.2377806
Blake Norman
{"title":"Sharp permutation groups whose point stabilizers are Frobenius groups with cyclic Frobenius kernel","authors":"Blake Norman","doi":"10.1080/00927872.2024.2377806","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377806","url":null,"abstract":"Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"58 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944323","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}
引用次数: 0
A combinatorial model for q-characters of fundamental modules of type Dn Dn 型基本模块 q 字符的组合模型
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-06 DOI: 10.1080/00927872.2024.2379491
Jun Tong, Bing Duan, Yanfeng Luo
{"title":"A combinatorial model for q-characters of fundamental modules of type Dn","authors":"Jun Tong, Bing Duan, Yanfeng Luo","doi":"10.1080/00927872.2024.2379491","DOIUrl":"https://doi.org/10.1080/00927872.2024.2379491","url":null,"abstract":"In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type Dn, inspired by Mukhin and Young’s combinatorial path models of representations of the...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"198 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944396","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}
引用次数: 0
Tjurina number of a local complete intersection curve 局部完全相交曲线的 Tjurina 数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-06 DOI: 10.1080/00927872.2024.2381823
Valmecir Antonio dos Santos Bayer, Edison Marcavillaca Niño de Guzmán, Abramo Hefez, Marcelo Escudeiro Hernandes
{"title":"Tjurina number of a local complete intersection curve","authors":"Valmecir Antonio dos Santos Bayer, Edison Marcavillaca Niño de Guzmán, Abramo Hefez, Marcelo Escudeiro Hernandes","doi":"10.1080/00927872.2024.2381823","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381823","url":null,"abstract":"In contrast to the Milnor number, there was no known formula relating the Tjurina number of a reducible curve to the Tjurina numbers of its components. In this work we exhibit such a formula relati...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"80 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944319","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}
引用次数: 0
Simple derivations in two variables 两个变量的简单推导
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-05 DOI: 10.1080/00927872.2024.2381827
Pankaj Shukla, Anand Parkash
{"title":"Simple derivations in two variables","authors":"Pankaj Shukla, Anand Parkash","doi":"10.1080/00927872.2024.2381827","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381827","url":null,"abstract":"Let k be a field of characteristic zero. If c1,c2∈k∖{0},s,t≥1 and u≥0, then it is shown that the k-derivations ∂x+xu(c1xtys+c2)∂y and ∂x+xu(c1xt+c2ys+1)∂y of k[x, y] are simple. We also give a nece...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"13 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944325","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}
引用次数: 0
Derivations and biderivations of the non-square linear Lie algebra gl(m×n, 𝔽) 非平方线性李代数 gl(m×n, 𝔽) 的派生和双派生
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-05 DOI: 10.1080/00927872.2024.2381814
Hongjin Liu, Zhengxin Chen
{"title":"Derivations and biderivations of the non-square linear Lie algebra gl(m×n, 𝔽)","authors":"Hongjin Liu, Zhengxin Chen","doi":"10.1080/00927872.2024.2381814","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381814","url":null,"abstract":"Let m, n be integers with m>n . Denote Mm,n by the set of all m×n matrices over the field F of characteristic zero. Let I be an n×m matrix with (i,i) -position 1 for any 1≤i≤n , and 0 in other ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"19 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944322","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}
引用次数: 0
Galois skew lines of smooth surfaces in P3 P3 中光滑曲面的伽罗瓦斜线
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-05 DOI: 10.1080/00927872.2024.2378223
Taro Hayashi
{"title":"Galois skew lines of smooth surfaces in P3","authors":"Taro Hayashi","doi":"10.1080/00927872.2024.2378223","DOIUrl":"https://doi.org/10.1080/00927872.2024.2378223","url":null,"abstract":"It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"24 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944494","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}
引用次数: 0
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