Semiring congruence on a class of generalized regular semiring

Qiao Zhan-ke · 2004

The semiring congruence on a class of generalized regular semiring S was studied. The divisible semiring congruence on S was characterized. A one-to-one, inclusion-preserving mapping from the set of full, closed, self-conjugate subsemirings of S to the set of divisible semiring congruence on S was established. A result for the divisible semiring congruence lattice was obtained.

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