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Bands of nil-extensions of right simple semigroups. (English) Zbl 0947.20045

The author continues investigations of some band decompositions of semigroups started in earlier papers [Publ. Math. 45, No. 1-2, 205-211 (1994; Zbl 0828.20052), ibid. 47, No. 3-4, 311-313 (1995; Zbl 0857.20044)]. Here he characterizes bands of nil-extensions of right simple semigroups in general and in some particular cases.
Reviewer’s remark: More general results have been recently proved by S. Bogdanović, B. Novikov and the reviewer [Publ. Math. 52, No. 1-2, 85-101 (1998; Zbl 0909.20045)].

MSC:

20M10 General structure theory for semigroups
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