{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
Mahah Javed, Joe Parkin, Peter Rowley, Josh Walton
{"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}