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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 4, Pages 521–534
DOI: https://doi.org/10.1070/SM1974v023n04ABEH001729 (Mi sm3733) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Weakly special and special radicals in semigroups

A. V. Tishchenko
English version PDF (942 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1974v023n04ABEH001729
Abstract: Hoehnke radicals on the class of semigroups are considered. The concepts of the special and weakly special radical in semigroups are introduced; they are analogous to the ring concepts. A characterization of reductive semigroups as those which possess a universal property for extensions is found. It is proved that the least special and least weakly special radicals coincide. A connection between the least special radical and the lower radical of Hoehnke is revealed.
Bibliography: 15 titles.
Received: 16.11.1973
Bibliographic databases:
UDC: 519.47
MSC: Primary 20M10; Secondary 16A21
Language: English
Original paper language: Russian
Citation: A. V. Tishchenko, “Weakly special and special radicals in semigroups”, Math. USSR-Sb., 23:4 (1974), 521–534
Citation in format AMSBIB
\Bibitem{Tis74}
\by A.~V.~Tishchenko
\paper Weakly special and special radicals in semigroups
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 4
\pages 521--534
\mathnet{http://mi.mathnet.ru//eng/sm3733}
\crossref{https://doi.org/10.1070/SM1974v023n04ABEH001729}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367095}
\zmath{https://zbmath.org/?q=an:0325.20057}
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  • https://www.mathnet.ru/eng/sm/v136/i4/p551
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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