The Clifford semiring congruences on an additive regular semiring

Anjan Kumar Bhuniya · Discussiones Mathematicae - General Algebra and Applications · 2014

A congruence on a semiring S is called a (generalized)Clifford semiring congruence if S/ 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.

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