Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ORDER-CONGRUENCES ON S-POSETS

  • XIE XIANG-YUN (Department of Mathematics and Physics Wuyi University) ;
  • SHI XIAOPING (Department of Mathematics Nanjing University)
  • Published : 2005.01.01
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Abstract

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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References

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