Journal of Algebra, Number Theory: Advances and Applications
OF REGULAR SEMIGROUPS WITH INVERSE TRANSVERSALSAuthor's: Ying-Ying Feng and Li-Min Wang
Pages: [1] - [27]
Received Date: November 19, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121892
Let S be a regular semigroup with an inverse transversal
and 
the congruence lattice of S. Two
congruences 
and 
are 
if 
where 
Various characterizations for congruences in
the 
with 
and in the 
with 
are obtained. The 
semigroup for regular semigroups with
Q-Clifford transversals is determined and is shown to have 19
elements at most.
regular semigroup, inverse transversal, congruence, semilattice
transversal, Q-Clifford transversal, 
