A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1219,
author = {A.K. Bhuniya},
title = {The Clifford semiring congruences on an additive regular semiring},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {34},
year = {2014},
pages = {143-153},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1219}
}
A.K. Bhuniya. The Clifford semiring congruences on an additive regular semiring. Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014) pp. 143-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1219/
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