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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1163, author = {Kar-Ping Shum and Lan Du and Yuqi Guo}, title = {Green's relations and their generalizations on semigroups}, journal = {Discussiones Mathematicae - General Algebra and Applications}, volume = {30}, year = {2010}, pages = {71-89}, zbl = {1232.20065}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1163} }
Kar-Ping Shum; Lan Du; Yuqi Guo. Green's relations and their generalizations on semigroups. Discussiones Mathematicae - General Algebra and Applications, Tome 30 (2010) pp. 71-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1163/
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