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Radicals of semigroup algebras of commutative and cancellative semigroups

Published online by Cambridge University Press:  14 November 2011

Edmund R. Puczyłowski
Edmund R. Puczyłowski
Affiliation:
Institute of Mathematics, University of Warsaw, 00-901 Warsaw, Poland
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Synopsis

The shape of radicals of semigroups algebras of commutative and cancellative semigroups is studied. The questions asto when a radical of those algebras is homogeneous and if homogeneous radicals have more regular form are examined.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 3-4 , 1986 , pp. 317 - 323
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

1Amitsur, S. A.. Radicals of polynomial rings. Canad. J. Math. 8 (1956), 355–361.CrossRefGoogle Scholar
2Divinsky, N. J.. Rings and radicals (Toronto: Allen and Unwin, 1965).Google Scholar
3Jespers, E. and , E. R. Puczyłowski. The Jacobson radical of semigroup rings of commutative and cancellative semigroups. Comm. Algebra 12 (1984), 1115–1123.CrossRefGoogle Scholar
4Jespers, E., Krempa, J. and Wauters, P.. The Brown-McCoy radical of semigroup rings of commutative and cancellative semigroups. Glasgow Math. J. 26 (1985), 107–113.CrossRefGoogle Scholar
5Krempa, J.. Radicals of semigroup rings. Fund. Math. 85 (1974), 54–71.CrossRefGoogle Scholar
6Kuczyński, A. J. and Puczyłowski, E. R.. On semisimplicity of group rings. Bull. Acad. Polon. Sci. Ser. Sci. Math. 22 (1974), 1103–1106.Google Scholar
7Munn, W. D.. On commutative semigroup algebras. Math. Proc. Cambridge Philos. Soc. 93 (1983), 237–246.CrossRefGoogle Scholar
8E. Puczyłowski, R.. Behaviour of radical properties of associative rings under some algebraicconstructions. Colloq. Math. Soc. Janos Bolyai 38 449–480. Radical Theory, Eger Hungary, 1982.Google Scholar
9Passman, D. S.. The algebraic structure of group rings (New York: Wiley, 1977).Google Scholar
10Sierpińska, A.. Radicals of rings of polynomials in non-commutative indeterminates. Bull. Acad. Polon. Sci. Ser. Sci. Math. 21 (1973), 805–808.Google Scholar
11Sierpińska, A.. K-completeness and its application to radicals of semigroup rings. Demonstratio Math. 13 (1980), 641–645.Google Scholar
12Wiegandt, R.. Radical and semisimple classes of rings (Queen's University,Kingston, Ontario, 1974).Google Scholar