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Sbornik: Mathematics, 2010, Volume 201, Issue 5, Pages 759–783
DOI: https://doi.org/10.1070/SM2010v201n05ABEH004091 (Mi sm7573) 		 
Radicals of semigroups and semigroup algebras

A. G. Sokolsky

Belgorod State University
English version PDF (342 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2010v201n05ABEH004091
Abstract: In the paper, diverse lower radicals of semigroups are considered, and it is shown how these radicals can be used when evaluating the prime radical of group and semigroup algebras. Conditions are found under which the prime radical of a group algebra coincides with an ideal generated by some congruence.
Bibliography: 22 titles.
Keywords: Group algebras, semigroup algebras, radicals of semigroups, prime radical.
Received: 06.05.2009 and 09.12.2009
Bibliographic databases:
Document Type: Article
UDC: 512.552.7
MSC: Primary 20M25; Secondary 16N20, 16N40, 16N60, 16N80, 20M11
Language: English
Original paper language: Russian
Citation: A. G. Sokolsky, “Radicals of semigroups and semigroup algebras”, Sb. Math., 201:5 (2010), 759–783
Citation in format AMSBIB
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