Kostia Beidar's contribution to module and ring theory

Detalhes bibliográficos
Autor(a) principal: Christian Lomp
Data de Publicação: 2007
Outros Autores: Robert Wisbauer
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/25797
Resumo: At the beginning of his mathematical career Kostia Beidar was working on rings with polynomial identities and primeness conditions for rings. By Posner's theorem the two-sided quotient ring of a prime PI-ring is a finite matrix ring over some field. This result was extended by Martindale to rings with generalised polynomial identities by the construction of the central closure of a prime ring. Kostia was working extensively in this setting and made crucial contributions to the understanding of the theory. While his contribution to general PI theory will be outlined elsewhere we want to sketch here his work on prime rings and the resulting study of (strongly) prime modules. An account on his papers on Hopf algebras is given and attention is drawn to some more recent constructions which grew out from Kostia's basic contributions to this field.
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spelling Kostia Beidar's contribution to module and ring theoryÁlgebra, MatemáticaAlgebra, MathematicsAt the beginning of his mathematical career Kostia Beidar was working on rings with polynomial identities and primeness conditions for rings. By Posner's theorem the two-sided quotient ring of a prime PI-ring is a finite matrix ring over some field. This result was extended by Martindale to rings with generalised polynomial identities by the construction of the central closure of a prime ring. Kostia was working extensively in this setting and made crucial contributions to the understanding of the theory. While his contribution to general PI theory will be outlined elsewhere we want to sketch here his work on prime rings and the resulting study of (strongly) prime modules. An account on his papers on Hopf algebras is given and attention is drawn to some more recent constructions which grew out from Kostia's basic contributions to this field.20072007-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/25797engChristian LompRobert Wisbauerinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T14:02:36Zoai:repositorio-aberto.up.pt:10216/25797Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:53:14.284067Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Kostia Beidar's contribution to module and ring theory
title Kostia Beidar's contribution to module and ring theory
spellingShingle Kostia Beidar's contribution to module and ring theory
Christian Lomp
Álgebra, Matemática
Algebra, Mathematics
title_short Kostia Beidar's contribution to module and ring theory
title_full Kostia Beidar's contribution to module and ring theory
title_fullStr Kostia Beidar's contribution to module and ring theory
title_full_unstemmed Kostia Beidar's contribution to module and ring theory
title_sort Kostia Beidar's contribution to module and ring theory
author Christian Lomp
author_facet Christian Lomp
Robert Wisbauer
author_role author
author2 Robert Wisbauer
author2_role author
dc.contributor.author.fl_str_mv Christian Lomp
Robert Wisbauer
dc.subject.por.fl_str_mv Álgebra, Matemática
Algebra, Mathematics
topic Álgebra, Matemática
Algebra, Mathematics
description At the beginning of his mathematical career Kostia Beidar was working on rings with polynomial identities and primeness conditions for rings. By Posner's theorem the two-sided quotient ring of a prime PI-ring is a finite matrix ring over some field. This result was extended by Martindale to rings with generalised polynomial identities by the construction of the central closure of a prime ring. Kostia was working extensively in this setting and made crucial contributions to the understanding of the theory. While his contribution to general PI theory will be outlined elsewhere we want to sketch here his work on prime rings and the resulting study of (strongly) prime modules. An account on his papers on Hopf algebras is given and attention is drawn to some more recent constructions which grew out from Kostia's basic contributions to this field.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01T00:00:00Z
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/25797
url https://hdl.handle.net/10216/25797
dc.language.iso.fl_str_mv eng
language eng
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