Green's relations and their generalizations on semigroups

Kar-Ping Shum; Lan Du; Yuqi Guo

Discussiones Mathematicae - General Algebra and Applications (2010)

  • Volume: 30, Issue: 1, page 71-89
  • ISSN: 1509-9415

Abstract

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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.

How to cite

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Kar-Ping Shum, Lan Du, and Yuqi Guo. "Green's relations and their generalizations on semigroups." Discussiones Mathematicae - General Algebra and Applications 30.1 (2010): 71-89. <http://eudml.org/doc/276488>.

@article{Kar2010,
abstract = {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.},
author = {Kar-Ping Shum, Lan Du, Yuqi Guo},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Green's relations; generalized Green's relations; regular semigroups; abundant semigroups rpp-semigroups; generalized Green relations; abundant semigroups; rpp-semigroups; completely regular semigroups},
language = {eng},
number = {1},
pages = {71-89},
title = {Green's relations and their generalizations on semigroups},
url = {http://eudml.org/doc/276488},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Kar-Ping Shum
AU - Lan Du
AU - Yuqi Guo
TI - Green's relations and their generalizations on semigroups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2010
VL - 30
IS - 1
SP - 71
EP - 89
AB - 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.
LA - eng
KW - Green's relations; generalized Green's relations; regular semigroups; abundant semigroups rpp-semigroups; generalized Green relations; abundant semigroups; rpp-semigroups; completely regular semigroups
UR - http://eudml.org/doc/276488
ER -

References

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