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국가지식-학술정보

ORDER-CONGRUENCES ON S-POSETS

ORDER-CONGRUENCES ON S-POSETS

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The aim of this paper is to study order-congruences on a S-poset A and to characterize the order-congruences by the concepts of pseudooreders on A and quasi-chains module a congruence p. Some homomorphism theorems of S-posets are given which is similar to the one of ordered semigroups. Finally, It is shown that there exists the non-trivial order-congruence on a S-poset by an example.

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