Clifford congruences on generalized quasi-orthodox GV-semigroups

Sunil K. Maity

Discussiones Mathematicae - General Algebra and Applications (2013)

  • Volume: 33, Issue: 2, page 137-145
  • ISSN: 1509-9415

Abstract

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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.

How to cite

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Sunil K. Maity. "Clifford congruences on generalized quasi-orthodox GV-semigroups." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 137-145. <http://eudml.org/doc/270612>.

@article{SunilK2013,
abstract = {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.},
author = {Sunil K. Maity},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Clifford semigroup; Clifford congruence; generalized quasi-orthodox semigroup; Clifford semigroups; Clifford congruences; generalized quasi-orthodox semigroups; completely regular elements},
language = {eng},
number = {2},
pages = {137-145},
title = {Clifford congruences on generalized quasi-orthodox GV-semigroups},
url = {http://eudml.org/doc/270612},
volume = {33},
year = {2013},
}

TY - JOUR
AU - Sunil K. Maity
TI - Clifford congruences on generalized quasi-orthodox GV-semigroups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 2
SP - 137
EP - 145
AB - 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.
LA - eng
KW - Clifford semigroup; Clifford congruence; generalized quasi-orthodox semigroup; Clifford semigroups; Clifford congruences; generalized quasi-orthodox semigroups; completely regular elements
UR - http://eudml.org/doc/270612
ER -

References

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  9. [9] M. Petrich and N.R. Reilly, Completely Regular Semigroups (Wiley, New York, 1999). Zbl0967.20034
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  11. [11] S. Sattayaporn, The least group congruences on eventually regular semigroups, Int. J. Algebra 4 (2010) 327-334. Zbl1208.20051

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