CERTAIN CONGRUENCES ON GV-SEMIGROUPS

Hengwu Zheng and Qingfeng Liu

Received July 3, 2009

References:

[1] B. S. Bogdanović, Semigroups with a System of Subsemigroups, University of Novi Sad, Novi Sad, 1985. [2] P. M. Edward, Eventually regular semigroups, Bull. Austral. Math. Soc. 28(1) (1983), 23-38. [3] J. M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, Oxford, 1995. [4] H. Mitsch, Semigroups and their natural order, Math. Slovaca 44(4) (1994), 445-462. [5] M. Petrich and N. R. Reilly, Completely Regular Semigroups, John Wiley & Sons, Inc., New York, 1999. [6] M. Petrich, A condition on the natural order for regular semigroups, Comm. Algebra 30(2) (2002), 517-542.

Keywords and phrases: eventually regular smigroup, GV-semigroup, congruence, GV-inverse congruence, nil-extension of a semigroup congruence, completely regular congruence.