Clifford congruences on generalized quasi-orthodox GV-semigroups
Sunil K. Maity
Discussiones Mathematicae - General Algebra and Applications, Tome 33 (2013), p. 137-145 / Harvested from The Polish Digital Mathematics Library

A semigroup S is said to be completely π-regular if for any a ∈ S there exists a positive integer n such that aⁿ is completely regular. A completely π-regular semigroup S is said to be a GV-semigroup if all the regular elements of S are completely regular. The present paper is devoted to the study of generalized quasi-orthodox GV-semigroups and least Clifford congruences on them.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:270612
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1207,
     author = {Sunil K. Maity},
     title = {Clifford congruences on generalized quasi-orthodox GV-semigroups},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {33},
     year = {2013},
     pages = {137-145},
     zbl = {1301.20062},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1207}
}
Sunil K. Maity. Clifford congruences on generalized quasi-orthodox GV-semigroups. Discussiones Mathematicae - General Algebra and Applications, Tome 33 (2013) pp. 137-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1207/

[000] [1] S. Bogdanovic, Semigroups with a System of Subsemigroups (Novi Sad, 1985). | Zbl 0569.20049

[001] [2] S. Bogdanovic and M. Ciric, Retractive nil-extensions of bands of groups, Facta Universitatis 8 (1993) 11-20. | Zbl 0831.20073

[002] [3] T.E. Hall, On regular semigroups, J. Algebra 24 (1973) 1-24. doi: 10.1016/0021-8693(73)90150-6.

[003] [4] J.M. Howie, Introduction to the Theory of Semigroups (Academic Press, 1976).

[004] [5] D.R. LaTorre, Group congruences on regular semigroups, Semigroup Forum 24 (1982) 327-340. doi: 10.1007/BF02572776. | Zbl 0487.20039

[005] [6] P.M. Edwards, Eventually regular semigroups, Bull. Austral. Math. Soc 28 (1982) 23-38. doi: 10.1017/S0004972700026095. | Zbl 0511.20044

[006] [7] W.D. Munn, Pseudo-inverses in semigroups, Proc. Camb. Phil. Soc. 57 (1961) 247-250. doi: 10.1017/S0305004100035143. | Zbl 0228.20057

[007] [8] M. Petrich, Regular semigroups which are subdirect products of a band and a semilattice of groups, Glasgow Math. J. 14 (1973) 27-49. doi: 10.1017/S0017089500001701. | Zbl 0257.20055

[008] [9] M. Petrich and N.R. Reilly, Completely Regular Semigroups (Wiley, New York, 1999). | Zbl 0967.20034

[009] [10] S.H. Rao and P. Lakshmi, Group congruences on eventually regular semigroups, J. Austral. Math. Soc. (Series A) 45 (1988) 320-325. doi: 10.1017/S1446788700031025. | Zbl 0665.20032

[010] [11] S. Sattayaporn, The least group congruences on eventually regular semigroups, Int. J. Algebra 4 (2010) 327-334. | Zbl 1208.20051