Zhou Han
Abstract
In this paper we define several new relations in ordered semigroups, use them to obtain the structure of the least completely semiprime ordered ideals, and prensent a new description of the least regular semilattice congruence on a po semigroup. The results are extension of some of M.Ciric to po semigroups.
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In this paper we define several new relations in ordered semigroups, use them to obtain the structure of the least completely semiprime ordered ideals, and prensent a new description of the least regular semilattice congruence on a po semigroup. The results are extension of some of M.Ciric to po semigroups.
Key concepts: Semilattice, Mathematics, Semiprime, Pure mathematics, Semiprime ring, Semigroup, Congruence (geometry), Extension (predicate logic)