The Congruences on Regular Semigroups with Inverse Transversals Associated with Green's Relations

FENG Yingying; SHANG Yu

doi:10.6054/j.jscnun.2021081

Journal of South China Normal University (Natural Science Edition) > 2021 > 53(5): 103-107. > DOI: 10.6054/j.jscnun.2021081

FENG Yingying, SHANG Yu. The Congruences on Regular Semigroups with Inverse Transversals Associated with Green's Relations[J]. Journal of South China Normal University (Natural Science Edition), 2021, 53(5): 103-107. DOI: 10.6054/j.jscnun.2021081

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The Congruences on Regular Semigroups with Inverse Transversals Associated with Green's Relations

FENG Yingying^1, ,,
SHANG Yu²

1.
Department of Mathematics, Foshan University, Foshan 528000, China
2.
School of Mathematics and Statistics, Pu'er University, Pu'er 665000, China

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Received Date: March 02, 2021
Available Online: November 10, 2021

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Abstract

Abstract

Let S be a regular semigroup with an inverse transversal. Following the study of the lifting property of ele-ments in the quotient semigroup of S and the lifting property of Green's relations in the homomorphic image of S, congruences on S generated by Green's relations and by restriction of Green's relations to the important subsemi-groups of S are investigated. The classes of semigroups related to these congruences are described.
- inverse transversal,
- Green's relations,
- congruence

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