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":"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}
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":"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}
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":"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}
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":"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}
Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2377806
Blake Norman
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,...
{"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}
Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2379491
Jun Tong, Bing Duan, Yanfeng Luo
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...
在本文中，我们介绍了量子仿射代数 Dn 型表示的组合路径模型，其灵感来自 Mukhin 和 Young 的...
{"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}
Pub Date : 2024-08-06DOI: 10.1080/00927872.2024.2381823
Valmecir Antonio dos Santos Bayer, Edison Marcavillaca Niño de Guzmán, Abramo Hefez, Marcelo Escudeiro Hernandes
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...
{"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}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2381827
Pankaj Shukla, Anand Parkash
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...
设 k 是特征为零的域。如果 c1,c2∈k∖{0},s,t≥1 且 u≥0，那么可以证明 k[x, y] 的 k 衍 ∂x+xu(c1xtys+c2)∂y 和 ∂x+xu(c1xt+c2ys+1)∂y 是简单的。我们还给出了一个新的...
{"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}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2381814
Hongjin Liu, Zhengxin Chen
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 ...
{"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}
Pub Date : 2024-08-05DOI: 10.1080/00927872.2024.2378223
Taro Hayashi
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 ...
已知 P3 中阶数 d≥5 的光滑曲面 X 的无理度 irr(X) 至少为 d - 2。本文研究了度数为 d - 2 的伽罗瓦有理映射 f:X--→P2，并证明了...
{"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}
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