Geodesic
Weakly special and special radicals in semigroups
Sbornik. Mathematics, Tome 23 (1974) no. 4, pp. 521-534

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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. 
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     author = {A. V. Tishchenko},
     title = {Weakly special and special radicals in semigroups},
     journal = {Sbornik. Mathematics},
     pages = {521--534},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_23_4_a3/}
}
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A. V. Tishchenko. Weakly special and special radicals in semigroups. Sbornik. Mathematics, Tome 23 (1974) no. 4, pp. 521-534. http://geodesic.mathdoc.fr/item/SM_1974_23_4_a3/