Green's relations and their generalizations on semigroups

Lan Du, Yuqi Guo, Kar-Ping Shum · Discussiones Mathematicae - General Algebra and Applications · 2010

Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.

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