Pub Date : 2024-05-09DOI: 10.1080/00927872.2024.2348126
Driss Bennis, Ayoub Bouziri
Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this paper is to study the class of commutative rings in which every S-flat module is flat (resp., projectiv...
让 R 是一个具有同一性的交换环，S 是 R 的一个乘法子集。本文的目的是研究一类交换环，在这类交换环中，每个 S 平面模块都是平面的（或者说，投影的）。
{"title":"When every S-flat module is (flat) projective","authors":"Driss Bennis, Ayoub Bouziri","doi":"10.1080/00927872.2024.2348126","DOIUrl":"https://doi.org/10.1080/00927872.2024.2348126","url":null,"abstract":"Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this paper is to study the class of commutative rings in which every S-flat module is flat (resp., projectiv...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"82 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167027","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 : 2024-05-06DOI: 10.1080/00927872.2024.2346299
Juanita Duque-Rosero, Rachel Pries
Suppose C is a cyclic Galois cover of the projective line branched at the three points 0, 1, and ∞ . Under a mild condition on the ramification, we determine the structure of the graded Lie algebra...
假设 C 是在 0、1 和 ∞ 三点处分支的投影线的循环伽罗瓦盖。在一个温和的斜切条件下，我们确定了分级李代数的结构...
{"title":"The classifying element for quotients of Fermat curves","authors":"Juanita Duque-Rosero, Rachel Pries","doi":"10.1080/00927872.2024.2346299","DOIUrl":"https://doi.org/10.1080/00927872.2024.2346299","url":null,"abstract":"Suppose C is a cyclic Galois cover of the projective line branched at the three points 0, 1, and ∞ . Under a mild condition on the ramification, we determine the structure of the graded Lie algebra...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"25 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140941489","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 : 2024-05-06DOI: 10.1080/00927872.2024.2346637
Claudio Quadrelli
We prove that a strengthened version of Minač–Tân’s Massey Vanishing Conjecture holds true for fields with a finite number of square classes whose maximal pro-2 Galois group is of elementary type (...
{"title":"Massey products in Galois cohomology and Pythagorean fields","authors":"Claudio Quadrelli","doi":"10.1080/00927872.2024.2346637","DOIUrl":"https://doi.org/10.1080/00927872.2024.2346637","url":null,"abstract":"We prove that a strengthened version of Minač–Tân’s Massey Vanishing Conjecture holds true for fields with a finite number of square classes whose maximal pro-2 Galois group is of elementary type (...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"89 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141196170","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 : 2024-05-05DOI: 10.1080/00927872.2024.2346638
Kristýna Zemková
We extend to characteristic two recent results about isotropy of quadratic forms over function fields. In particular, we provide a characterization of function fields not only of quadratic forms bu...
{"title":"Isotropy of quadratic forms over function fields in characteristic 2","authors":"Kristýna Zemková","doi":"10.1080/00927872.2024.2346638","DOIUrl":"https://doi.org/10.1080/00927872.2024.2346638","url":null,"abstract":"We extend to characteristic two recent results about isotropy of quadratic forms over function fields. In particular, we provide a characterization of function fields not only of quadratic forms bu...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"50 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167031","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}
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh and Takahashi. In separate works, the authors of the present paper showed that such rings have rigi...
{"title":"Ring homomorphisms and local rings with quasi-decomposable maximal ideal","authors":"Saeed Nasseh, KeriAnn Sather-Wagstaff, Ryo Takahashi","doi":"10.1080/00927872.2024.2345843","DOIUrl":"https://doi.org/10.1080/00927872.2024.2345843","url":null,"abstract":"The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh and Takahashi. In separate works, the authors of the present paper showed that such rings have rigi...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"51 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167029","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 : 2024-05-02DOI: 10.1080/00927872.2024.2345275
Karthik Dulam, Hrishikesh Ghate, Michael Lau, Suyash Pathak
Let g be a complex semisimple Lie algebra with Borel subalgebra b and corresponding nilradical n. We show that singular Whittaker modules M are simple if and only if the space Wh M of Whittaker vec...
我们证明，奇异惠特克模块 M 是简单的，当且仅当惠特克向量空间 Wh M 是简单的。
{"title":"Whittaker vectors in singular Whittaker modules","authors":"Karthik Dulam, Hrishikesh Ghate, Michael Lau, Suyash Pathak","doi":"10.1080/00927872.2024.2345275","DOIUrl":"https://doi.org/10.1080/00927872.2024.2345275","url":null,"abstract":"Let g be a complex semisimple Lie algebra with Borel subalgebra b and corresponding nilradical n. We show that singular Whittaker modules M are simple if and only if the space Wh M of Whittaker vec...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"33 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167034","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 : 2024-05-02DOI: 10.1080/00927872.2024.2346300
Kamal Bahmanpour
Let a be an ideal of a given commutative Noetherian ring R which satisfies the condition of the first problem of R. Hartshorne in [Affine duality and cofiniteness, Invent. Math. 9 (1970), 145–164]....
设 a 是给定交换诺特环 R 的一个理想，它满足 R. 哈特肖恩在 [Affine duality and cofiniteness, Invent.
{"title":"On the first and second problems of Hartshorne on cofiniteness","authors":"Kamal Bahmanpour","doi":"10.1080/00927872.2024.2346300","DOIUrl":"https://doi.org/10.1080/00927872.2024.2346300","url":null,"abstract":"Let a be an ideal of a given commutative Noetherian ring R which satisfies the condition of the first problem of R. Hartshorne in [Affine duality and cofiniteness, Invent. Math. 9 (1970), 145–164]....","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"67 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140941487","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 : 2024-04-30DOI: 10.1080/00927872.2024.2343762
Paul Breiding, Timothy Duff, Lukas Gustafsson, Felix Rydell, Elima Shehu
We study the following problem in computer vision from the perspective of algebraic geometry: Using m pinhole cameras we take m pictures of a line in P3 . This produces m lines in P2 and the quest...
我们从代数几何的角度研究计算机视觉中的以下问题：我们使用 m 台针孔摄像机拍摄 P3 中一条直线的 m 张照片。这将在 P2 中产生 m 条线，并求...
{"title":"Line multiview ideals","authors":"Paul Breiding, Timothy Duff, Lukas Gustafsson, Felix Rydell, Elima Shehu","doi":"10.1080/00927872.2024.2343762","DOIUrl":"https://doi.org/10.1080/00927872.2024.2343762","url":null,"abstract":"We study the following problem in computer vision from the perspective of algebraic geometry: Using m pinhole cameras we take m pictures of a line in P3 . This produces m lines in P2 and the quest...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"24 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167589","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 : 2024-04-30DOI: 10.1080/00927872.2024.2343760
Xingxue Miao, Shujuan Wang, Wende Liu, Jizhu Nan
Over a field of characteristic p > 2, we first provide the definitions of the supersymmetric super-biderivation and the skew-supersymmetric super-biderivation from a Lie superalgebra g to a g-modul...
在特征 p > 2 的域上，我们首先给出了从一个列超代数 g 到一个 g-modul 的超对称超双向和偏超对称超双向的定义。
{"title":"The biderivations of 𝔰𝔩(2,1) with coefficients in simple modules","authors":"Xingxue Miao, Shujuan Wang, Wende Liu, Jizhu Nan","doi":"10.1080/00927872.2024.2343760","DOIUrl":"https://doi.org/10.1080/00927872.2024.2343760","url":null,"abstract":"Over a field of characteristic p > 2, we first provide the definitions of the supersymmetric super-biderivation and the skew-supersymmetric super-biderivation from a Lie superalgebra g to a g-modul...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"33 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167026","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 : 2024-04-26DOI: 10.1080/00927872.2024.2343753
Naoki Kato
The notion of double extension for symplectic Lie algebras was introduced by Medina and Revoy in 1985. In 2021, Valencia gave a condition for symplectic Lie algebras which are obtained through doub...
{"title":"Double extensions of left-symmetric structures","authors":"Naoki Kato","doi":"10.1080/00927872.2024.2343753","DOIUrl":"https://doi.org/10.1080/00927872.2024.2343753","url":null,"abstract":"The notion of double extension for symplectic Lie algebras was introduced by Medina and Revoy in 1985. In 2021, Valencia gave a condition for symplectic Lie algebras which are obtained through doub...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"58 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167032","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：