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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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Regular Semigroups Satisfying the Equation eab = eabeb for all a, b in S and e in E(S).
by
Boyko Gyurov
South West University, Blagoevgrad, BULGARIA

For a regular semigroup S, it is known that equation eab = eaeb for all e in E(S) and a, b in S is equivalent to the equation eaf = eaef for all e, f in E(S) and a in S. It is easy to deduce that eaf = eafef. In [1] is raised the problem for giving non-trivial examples of semigroups (regular semigroups) satisfying eab = eabeb for all a, b in S and e in E(S). The present paper gives such examples.

References:

[1] Y. Q. Guo, K. P. Shum, P. Y. Zhu, On Quasi-C-semigroups and Some Special Subclasses, Algebra Colloquium 6:1 (1999) pp. 105-120

Date received: May 24, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caee-65.