Classes of semigroups modulo Green's relation H

Details Classes of semigroups modulo Green's relation H Classes of semigroups modulo Green's relation H

2012-03-16

arxiv.org/abs/1203.3740v1

Mathematics

Group Theory

Scientific paper

Inverses semigroups and orthodox semigroups are either defined in terms of inverses, or in terms of the set of idempotents E(S). In this article, we study analogs of these semigroups defined in terms of inverses modulo Green's relation H, or in terms of the set of group invertible elements H(S), that allows a study of non-regular semigroups. We then study the interplays between these new classes of semigroups, as well as with known classes of semigroups (notably inverse, orthodox and cryptic semigroups)

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