Supernilpotent semigroups
Copyright policy )Supernilpotent semigroups
Regular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability, and supernilpotency of regular semigroups, we obtain that an analogous statement is true only in orthodox semigroups. We provide an example that shows that the same does not have to be true in regular semigroups that are not orthodox.
- University of East Sarajevo Bosnia and Herzegovina
- University of Novi Sad Serbia
- University of Novi Sad, Faculty of Science
orthodoxy, Orthodox semigroups, direct product, Generalizations of solvable and nilpotent groups, commutator, group theory, Mathematics - Rings and Algebras, Group Theory (math.GR), Regular semigroups, regular semigroups, supernilpotent semigroups, Rings and Algebras (math.RA), 20M17, 20M19, 20F19, FOS: Mathematics, nilpotency, Mathematics - Group Theory, solvability
orthodoxy, Orthodox semigroups, direct product, Generalizations of solvable and nilpotent groups, commutator, group theory, Mathematics - Rings and Algebras, Group Theory (math.GR), Regular semigroups, regular semigroups, supernilpotent semigroups, Rings and Algebras (math.RA), 20M17, 20M19, 20F19, FOS: Mathematics, nilpotency, Mathematics - Group Theory, solvability
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