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https://hdl.handle.net/10216/25797
Autor(es): | Christian Lomp Robert Wisbauer |
Título: | Kostia Beidar's contribution to module and ring theory |
Data de publicação: | 2007 |
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. |
Descrição: | 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. |
Assunto: | Álgebra, Matemática Algebra, Mathematics |
Áreas do conhecimento: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
URI: | https://hdl.handle.net/10216/25797 |
Fonte: | Rings and Nearrings |
Tipo de Documento: | Artigo em Livro de Atas de Conferência Internacional |
Condições de Acesso: | openAccess |
Licença: | https://creativecommons.org/licenses/by-nc/4.0/ |
Aparece nas coleções: | FCUP - Artigo em Livro de Atas de Conferência Internacional |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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48457.pdf | Chapter | 199.72 kB | Adobe PDF | Ver/Abrir |
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