Idempotent separating congruences on an orthodox semigroup via the least inverse congruence.
Krgović, Dragica N. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “The Clifford semiring congruences on an additive regular semiring”
Idempotent separating congruences on an orthodox semigroup via the least inverse congruence.
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The idempotent semirings for which Green’s -relation on the multiplicative reduct is a congruence relation form a subvariety of the variety of all idempotent semirings. This variety contains the variety consisting of all the idempotent semirings which do not contain a two-element monobisemilattice as a subsemiring. Various characterizations will be given for the idempotent semirings for which the -relation on the multiplicative reduct is the least lattice congruence.
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