Pub Date : 2024-07-01DOI: 10.1080/00927872.2024.2362931
S. Babaei, E. Sengelen Sevim
This paper introduces a simple graph associated to a commutative ring. Nonzero ideals I and J of a commutative ring R are called Krull dimension-dependent whenever dimR/(I+J)=min{dimR/I,dimR/J} . B...
本文介绍一种与交换环相关的简单图形。当 dimR/(I+J)=min{dimR/I,dimR/J}时，交换环 R 的非零理想 I 和 J 被称为 Krull 维数相关图。B...
{"title":"The dimension graph of a commutative ring","authors":"S. Babaei, E. Sengelen Sevim","doi":"10.1080/00927872.2024.2362931","DOIUrl":"https://doi.org/10.1080/00927872.2024.2362931","url":null,"abstract":"This paper introduces a simple graph associated to a commutative ring. Nonzero ideals I and J of a commutative ring R are called Krull dimension-dependent whenever dimR/(I+J)=min{dimR/I,dimR/J} . B...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"25 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718453","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: 10.1080/00927872.2024.2364285
Alexandru Chirvasitu
The chain group Ch(G) of a locally compact group G has one generator gρ for each irreducible unitary G-representation ρ, a relation gρ=gρ′gρ″ whenever ρ is weakly contained in ρ′⊗ρ″, and gρ*=gρ−1 f...
局部紧密群 G 的链群 Ch(G) 对于每个不可还原的单元 G 表示 ρ 都有一个发电机 gρ，只要 ρ 弱包含在 ρ′⊗ρ″ 中，就有关系 gρ=gρ′gρ″ ，并且 gρ*=gρ-1 f...
{"title":"Chain-center duality for locally compact groups","authors":"Alexandru Chirvasitu","doi":"10.1080/00927872.2024.2364285","DOIUrl":"https://doi.org/10.1080/00927872.2024.2364285","url":null,"abstract":"The chain group Ch(G) of a locally compact group G has one generator gρ for each irreducible unitary G-representation ρ, a relation gρ=gρ′gρ″ whenever ρ is weakly contained in ρ′⊗ρ″, and gρ*=gρ−1 f...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"64 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718451","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: 10.1080/00927872.2024.2366378
María Cumplido
We show that pure subgroups of infinitely braided Thompson’s are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.
我们证明了无限辫状汤普森的纯子群是双阶的。对于每一个有限生成的纯子群，我们都给出了明确的子集。
{"title":"Pure infinitely braided Thompson groups","authors":"María Cumplido","doi":"10.1080/00927872.2024.2366378","DOIUrl":"https://doi.org/10.1080/00927872.2024.2366378","url":null,"abstract":"We show that pure subgroups of infinitely braided Thompson’s are bi-orderable. For every finitely generated pure subgroup, we give explicit sets of generators.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"47 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141742614","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 : 2024-06-27DOI: 10.1080/00927872.2024.2366379
C. S. Anabanti, A. K. Asboei
We introduce two invariants for finite groups, and use each to characterize A5.
我们为有限群引入了两个不变式，并分别用来描述 A5 的特征。
{"title":"Two characterizations of the smallest non-solvable group","authors":"C. S. Anabanti, A. K. Asboei","doi":"10.1080/00927872.2024.2366379","DOIUrl":"https://doi.org/10.1080/00927872.2024.2366379","url":null,"abstract":"We introduce two invariants for finite groups, and use each to characterize A5.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"51 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718457","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 : 2024-06-21DOI: 10.1080/00927872.2024.2359052
Ping Zhao, Huabi Hu
Let Dn be the monoid of all order-decreasing full transformations on n={1,…,n}. In this paper, we determine the maximal subsemigroups as well as the maximal idempotent generated subsemigroups of Dn...
{"title":"The monoid of all order-decreasing full transformations","authors":"Ping Zhao, Huabi Hu","doi":"10.1080/00927872.2024.2359052","DOIUrl":"https://doi.org/10.1080/00927872.2024.2359052","url":null,"abstract":"Let Dn be the monoid of all order-decreasing full transformations on n={1,…,n}. In this paper, we determine the maximal subsemigroups as well as the maximal idempotent generated subsemigroups of Dn...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"29 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508820","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 : 2024-06-21DOI: 10.1080/00927872.2024.2361363
Shan Ren
Let Fp be the prime field of order p > 0 and G be an elementary abelian p-group. For some n-dimensional cohyperplane G-representations V over Fp , we show that Fp[V⊕V*]G , the invariant ring of a ...
让 Fp 是阶数 p > 0 的素域，G 是基本无性 p 群。对于 Fp 上的某些 n 维共平面 G 表示 V，我们证明 Fp[V⊕V*]G 的不变环 ...
{"title":"Modular invariants of a vector and a covector for some elementary abelian p-groups","authors":"Shan Ren","doi":"10.1080/00927872.2024.2361363","DOIUrl":"https://doi.org/10.1080/00927872.2024.2361363","url":null,"abstract":"Let Fp be the prime field of order p > 0 and G be an elementary abelian p-group. For some n-dimensional cohyperplane G-representations V over Fp , we show that Fp[V⊕V*]G , the invariant ring of a ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"30 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141718458","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 : 2024-06-18DOI: 10.1080/00927872.2024.2360174
Hoger Ghahramani, Leila Heidari Zadeh
Let U be an associative unital algebra containing a non-trivial idempotent e. We consider U as a superalgebra whose Z2-grading is induced by e. This paper aims to describe Lie superderivations of U...
我们将 U 视为超代数，其 Z2 等级由 e 诱导。
{"title":"Lie superderivations on unital algebras with idempotents","authors":"Hoger Ghahramani, Leila Heidari Zadeh","doi":"10.1080/00927872.2024.2360174","DOIUrl":"https://doi.org/10.1080/00927872.2024.2360174","url":null,"abstract":"Let U be an associative unital algebra containing a non-trivial idempotent e. We consider U as a superalgebra whose Z2-grading is induced by e. This paper aims to describe Lie superderivations of U...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"24 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508819","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 : 2024-06-18DOI: 10.1080/00927872.2024.2362332
Bhawesh Mishra
Given an odd prime q, a natural number l and non-zero q-free integers a1,a2,…,al, none of which are equal to 1 or –1, we give necessary and sufficient conditions for the polynomial ∏j=1l(xq−aj) to ...
{"title":"Polynomials with factors of the form (xq–a) with roots modulo every integer","authors":"Bhawesh Mishra","doi":"10.1080/00927872.2024.2362332","DOIUrl":"https://doi.org/10.1080/00927872.2024.2362332","url":null,"abstract":"Given an odd prime q, a natural number l and non-zero q-free integers a1,a2,…,al, none of which are equal to 1 or –1, we give necessary and sufficient conditions for the polynomial ∏j=1l(xq−aj) to ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508822","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 : 2024-06-18DOI: 10.1080/00927872.2024.2363948
Hang Thu Nguyen, Hien Thi Truong, Thanh Vu
Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.
设 I 是多项式环 S=k[x1,...,xd,y1,...,yd] 上维数为 d 的科恩-麦考莱树的边理想。我们证明，对于所有 t≥1，depth(S/It)=max{d-t+1,1}。
{"title":"Depth of powers of edge ideals of Cohen-Macaulay trees","authors":"Hang Thu Nguyen, Hien Thi Truong, Thanh Vu","doi":"10.1080/00927872.2024.2363948","DOIUrl":"https://doi.org/10.1080/00927872.2024.2363948","url":null,"abstract":"Let I be the edge ideal of a Cohen-Macaulay tree of dimension d over a polynomial ring S=k[x1,…,xd,y1,…,yd]. We prove that for all t≥1, depth(S/It)=max{d−t+1,1}.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"33 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508821","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 : 2024-06-18DOI: 10.1080/00927872.2024.2358418
Mahah Javed, Joe Parkin, Peter Rowley, Josh Walton
Let G(q) be a twisted or untwisted finite exceptional group of Lie type over GF(q) , either adjoint or simply connected, and let W be the Weyl group of G(q). This paper compiles an extensive data s...
设 G(q)是 GF(q) 上的烈型有限异常群，可以是邻接群，也可以是简单连接群；设 W 是 G(q) 的韦尔群。本文汇编了广泛的数据...
{"title":"The maximal Tori of finite exceptional groups of Lie type","authors":"Mahah Javed, Joe Parkin, Peter Rowley, Josh Walton","doi":"10.1080/00927872.2024.2358418","DOIUrl":"https://doi.org/10.1080/00927872.2024.2358418","url":null,"abstract":"Let G(q) be a twisted or untwisted finite exceptional group of Lie type over GF(q) , either adjoint or simply connected, and let W be the Weyl group of G(q). This paper compiles an extensive data s...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"40 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508823","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：