Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2372376
Trevor Gunn
In a recent paper, Baker and Oliver Lorscheid showed that Descartes’s Rule of Signs and Newton’s Polygon Rule can both be interpreted as multiplicities of polynomials over hyperfields. Hyperfields ...
{"title":"Tropical extensions and Baker-Lorscheid multiplicities for idylls","authors":"Trevor Gunn","doi":"10.1080/00927872.2024.2372376","DOIUrl":"https://doi.org/10.1080/00927872.2024.2372376","url":null,"abstract":"In a recent paper, Baker and Oliver Lorscheid showed that Descartes’s Rule of Signs and Newton’s Polygon Rule can both be interpreted as multiplicities of polynomials over hyperfields. Hyperfields ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"74 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944336","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 : 2024-07-22DOI: 10.1080/00927872.2024.2374437
Emmy Lewis
Given a Noetherian ring A, the collection of integrally closed ideals in A which contain a nonzerodivisor forms a cancellative monoid under the operation I*J=IJ¯ , the integral closure of the produ...
{"title":"Factorization in the monoid of integrally closed ideals","authors":"Emmy Lewis","doi":"10.1080/00927872.2024.2374437","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374437","url":null,"abstract":"Given a Noetherian ring A, the collection of integrally closed ideals in A which contain a nonzerodivisor forms a cancellative monoid under the operation I*J=IJ¯ , the integral closure of the produ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"198 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944337","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 : 2024-07-22DOI: 10.1080/00927872.2024.2374429
Zilu Zhang, Liping Sun, Zhaoxin Li
Over a field of characteristic p > 2, firstly, the structure of Kac modules of Lie superalgebra P˜(2) and the weight space decompositions are given. Secondly, the weight-derivations of P˜(2) to i...
在特征 p > 2 的域上，首先给出了列超代数 P˜(2)的 Kac 模块结构和权重空间分解。其次，给出了 P˜(2)的权派生到 i...
{"title":"The first cohomology of lie superalgebra P̃(2) with coefficients in kac modules","authors":"Zilu Zhang, Liping Sun, Zhaoxin Li","doi":"10.1080/00927872.2024.2374429","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374429","url":null,"abstract":"Over a field of characteristic p > 2, firstly, the structure of Kac modules of Lie superalgebra P˜(2) and the weight space decompositions are given. Secondly, the weight-derivations of P˜(2) to i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"18 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944332","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 : 2024-07-16DOI: 10.1080/00927872.2024.2370467
Kritsada Sangkhanan
Let V be a vector space and U a fixed subspace of V. We denote the semigroup of all linear transformations on V under composition of functions by L(V). In this paper, we study the semigroup of all ...
让 V 是一个向量空间，U 是 V 的一个固定子空间。我们用 L(V) 表示 V 上所有线性变换在函数组成下的半群。在本文中，我们将研究所有...
{"title":"Semigroups of linear transformations whose restrictions belong to a general linear group","authors":"Kritsada Sangkhanan","doi":"10.1080/00927872.2024.2370467","DOIUrl":"https://doi.org/10.1080/00927872.2024.2370467","url":null,"abstract":"Let V be a vector space and U a fixed subspace of V. We denote the semigroup of all linear transformations on V under composition of functions by L(V). In this paper, we study the semigroup of all ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"47 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944335","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 : 2024-07-14DOI: 10.1080/00927872.2024.2372389
Ramkrishna Mandal, Apurba Das
The notion of matching Rota-Baxter algebras was recently introduced by Gao, Guo, and Zhang motivated by the study of algebraic renormalization of regularity structures. In this paper, we introduce ...
{"title":"Matching relative Rota-Baxter algebras, matching dendriform algebras and their cohomologies","authors":"Ramkrishna Mandal, Apurba Das","doi":"10.1080/00927872.2024.2372389","DOIUrl":"https://doi.org/10.1080/00927872.2024.2372389","url":null,"abstract":"The notion of matching Rota-Baxter algebras was recently introduced by Gao, Guo, and Zhang motivated by the study of algebraic renormalization of regularity structures. In this paper, we introduce ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"39 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141742612","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 : 2024-07-12DOI: 10.1080/00927872.2024.2373380
Houssein El Turkey
We explore two modules F and K over a subalgebra U of the quantum group Uq(gl(∞)). The first U-module is the Fock space related to the natural module over the quantum group. If we let O+ to be the ...
我们探讨量子群 Uq(gl(∞))的子代数 U 上的两个模块 F 和 K。第一个 U 模块是与量子群上的自然模块相关的福克空间。如果我们把 O+ ...
{"title":"A Fock space approach to socle series of Grothendieck group over Lie superalgebra osp(2|2)","authors":"Houssein El Turkey","doi":"10.1080/00927872.2024.2373380","DOIUrl":"https://doi.org/10.1080/00927872.2024.2373380","url":null,"abstract":"We explore two modules F and K over a subalgebra U of the quantum group Uq(gl(∞)). The first U-module is the Fock space related to the natural module over the quantum group. If we let O+ to be the ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"15 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141742613","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 : 2024-07-12DOI: 10.1080/00927872.2024.2371560
Fabienne Chouraqui
Given two linear transformations, with representing matrices A and B with respect to some bases, it is not clear, in general, whether the Tracy-Singh product of the matrices A and B corresponds to ...
给定两个线性变换，代表矩阵 A 和 B 关于某些基，一般来说，矩阵 A 和 B 的特雷西-辛格乘积是否对应于...
{"title":"When the Tracy-Singh product of matrices represents a certain operation on linear operators","authors":"Fabienne Chouraqui","doi":"10.1080/00927872.2024.2371560","DOIUrl":"https://doi.org/10.1080/00927872.2024.2371560","url":null,"abstract":"Given two linear transformations, with representing matrices A and B with respect to some bases, it is not clear, in general, whether the Tracy-Singh product of the matrices A and B corresponds to ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"35 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718450","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 : 2024-07-01DOI: 10.1080/00927872.2024.2362932
João Dias, Bruno Dinis
This paper establishes a connection between rings, lattices and common meadows. Meadows are commutative and associative algebraic structures with two operations (addition and multiplication) with a...
{"title":"Strolling through common meadows","authors":"João Dias, Bruno Dinis","doi":"10.1080/00927872.2024.2362932","DOIUrl":"https://doi.org/10.1080/00927872.2024.2362932","url":null,"abstract":"This paper establishes a connection between rings, lattices and common meadows. Meadows are commutative and associative algebraic structures with two operations (addition and multiplication) with a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"34 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718452","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 : 2024-07-01DOI: 10.1080/00927872.2024.2367170
Jiawen Shan, Dancheng Lu
Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear resolution for some s≥1 (or equivalently for all s≥1) if and only if Is has linear quotients for so...
设 I 是具有 n 个顶点的线图 Ln 的 t 路径理想。研究表明，当且仅当 Is 对某些 s≥1（或等价于对所有 s≥1）具有线性商时，Is 才具有线性解析。
{"title":"Regularity of powers of path ideals of line graphs","authors":"Jiawen Shan, Dancheng Lu","doi":"10.1080/00927872.2024.2367170","DOIUrl":"https://doi.org/10.1080/00927872.2024.2367170","url":null,"abstract":"Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear resolution for some s≥1 (or equivalently for all s≥1) if and only if Is has linear quotients for so...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"68 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718454","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 : 2024-07-01DOI: 10.1080/00927872.2024.2367169
Zhengtian Qiu, Guiyun Chen, Jianjun Liu
Let H be a subgroup of a finite group G. We say that H satisfies the partial Π -property in G if there exists a chief series ΓG:1=G0
让 H 是有限群 G 的一个子群。如果存在一个 G 的主数列 ΓG:1=G0
{"title":"On the partial Π-property of second minimal or second maximal subgroups of Sylow subgroups of finite groups","authors":"Zhengtian Qiu, Guiyun Chen, Jianjun Liu","doi":"10.1080/00927872.2024.2367169","DOIUrl":"https://doi.org/10.1080/00927872.2024.2367169","url":null,"abstract":"Let H be a subgroup of a finite group G. We say that H satisfies the partial Π -property in G if there exists a chief series ΓG:1=G0<G1<···<Gn=G of G such that for every G-chief factor Gi/Gi−1 (1...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718455","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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