# 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

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topKar-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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