THE MAXIMUM IDEMPOTENT SEPARATING CONGRUENCE ON EVENTUALLY REGULAR SEMIGROUPS

Supavinee Sattayaporn (Thailand)

Received October 7, 2009

References:

[1] P. M. Edwards, Eventually regular semigroups, Bull. Austral. Math. Soc. 28(1) (1983), 23-38. [2] J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995. [3] Y. F. Luo and X. L. Li, The maximum idempotent-separating congruence on eventually regular semigroups, Semigroup Forum 74(2) (2007), 306-318. [4] M. Siripitukdet and S. Sattayaporn, The least group congruence on E-inversive semigroups and E-inversive E-semigroups, Thai J. Math. 3(2) (2005), 163-169. [5] M. Siripitukdet and S. Sattayaporn, The maximum idempotent separating congruence on E-inversive E-semigroups, Int. J. Algebra 2(19) (2008), 925-931. [6] B. Weipoltshammer, Certain congruences on E-inversive E-semigroups, Semigroup Forum 65(2) (2002), 233-248. [7] B. Weipoltshammer, On classes of E-inversive semigroups and semigroups whose idempotents form a subsemigroup, Comm. algebra 32(8) (2004), 2929-2948.

Keywords and phrases: eventually regular semigroup, idempotent separating congruence.