IMCS/Publications/QRS/Issues/QRS v.20, n.1 (27), 2012/

Some results on E-inversive semigroups

Authors: R. S. Gigon


We show that E-inversive semigroups are M-semigroups and we prove that M-biordered sets arise from E-inversive semigroups. Moreover, some connections between bi-ideals of an E-inversive semigroup S and bi-order ideals, order bi-ideals of the biordered set ES of S are given. Further, some results of Janet Mills concerning matrix congruences on orthodox semigroups are generalized to E-inversive E-semigroups. Also, we prove that the class of all E-inversive semigroups is structurally closed.


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