The Clifford semiring congruences on an additive regular semiring
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 2
Abstract
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. Keywords: additive regular semiring, skew-ring, trace, kernel, Clifford congruence. 2010 Mathematics Subject Classification: 16Y60
Authors and Affiliations
Anjan Bhuniya
Keywords
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