Rings with each right ideal automorphism-invariant

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dc.contributor.authorKosan, M. Tamer
dc.contributor.authorTruong Cong Quynh
dc.contributor.authorSrivastava, Ashish K.
dc.date.accessioned2025-10-29T11:26:15Z
dc.date.issued2016
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we study rings having the property that every right ideal is automorphism-invariant. Such rings are called right a-rings. It is shown that (1) a right a-ring is a direct sum of a square-full semisimple artinian ring and a right square-free ring, (2) a ring R is semisimple artinian if and only if the matrix ring M-n(R) is a right a-ring for some n > 1, (3) every right a-ring is stably-finite, (4) a right a-ring is von Neumann regular if and only if it is semiprime, and (5) a prime right a-ring is simple artinian. We also describe the structure of an indecomposable right artinian right non-singular right a-ring as a triangular matrix ring of certain block matrices. (C) 2015 Elsevier B.V. All rights reserved.
dc.description.sponsorshipVietnam National Foundation for Science and Technology Development (NAFOSTED) [101.04-2014.22]
dc.description.sponsorshipTUBITAK of Turkey [2211]
dc.description.sponsorshipWe would like to thank the referee for carefully reading the paper. The suggestions of the referee have improved the presentation of this paper. The second author has been partially funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED, grant number 101.04-2014.22). Ashish K. Srivastava gratefully acknowledges the support from TUBITAK of Turkey (grant number 2211) for his visit to the Gebze Technical University, and the hospitality from the host university.
dc.identifier.doi10.1016/j.jpaa.2015.09.016
dc.identifier.endpage1537
dc.identifier.issn0022-4049
dc.identifier.issn1873-1376
dc.identifier.issue4
dc.identifier.orcid0000-0003-4109-1159
dc.identifier.scopus2-s2.0-84960225532
dc.identifier.scopusqualityQ2
dc.identifier.startpage1525
dc.identifier.urihttps://doi.org/10.1016/j.jpaa.2015.09.016
dc.identifier.urihttps://hdl.handle.net/20.500.14854/10184
dc.identifier.volume220
dc.identifier.wosWOS:000366070600016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofJournal of Pure and Applied Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectModules
dc.titleRings with each right ideal automorphism-invariant
dc.typeArticle

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