This article is cited in 3 scientific papers (total in 3 papers)
Weakly special and special radicals in semigroups
A. V. Tishchenko
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.
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Mathematics of the USSR-Sbornik, 1974, 23:4, 521–534
MSC: Primary 20M10; Secondary 16A21
A. V. Tishchenko, “Weakly special and special radicals in semigroups”, Mat. Sb. (N.S.), 94(136):4(8) (1974), 551–566; Math. USSR-Sb., 23:4 (1974), 521–534
Citation in format AMSBIB
\paper Weakly special and special radicals in semigroups
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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