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http://dx.doi.org/10.4134/CKMS.2005.20.1.001

ORDER-CONGRUENCES ON S-POSETS  

XIE XIANG-YUN (Department of Mathematics and Physics Wuyi University)
SHI XIAOPING (Department of Mathematics Nanjing University)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.1, 2005 , pp. 1-14 More about this Journal
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.
Keywords
S-poset; order-congruence; quasi-chain module p; pseudo order;
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  • Reference
1 X. Y. Xie, An Introduction to Ordered Semigroup Theory, Beijing, Science Press, 2001
2 X. Y. Xie, Contributions to theory of congruences on ordered semigroups, Doctoral Dissertation, Lanzhou University, 1995
3 X. Y. Xie and M. F. Wu, On congruences on ordered semigroups, Math. Japon- ica, 45 (1997), no. 1, 81-85
4 Z. Liu, S-systems Theory of Semigroups, Beijing, Science Press, 1999
5 N. Kehayopulu Pseudoorder in ordered semigroups, Semigroup Forum 50 (1995), 389-392
6 J. M. Howie, An Introduction to Semigroup Theory, Academic Press, 1976
7 N. Kehayopulu and M. Tsingelis, On subdirectly irreducible ordered semigroups, Semigroup Forum Semigroup Forum 50 (1995), 161-177   DOI
8 S. M. Fakhruddin, Absolute flatness and amalgrams in pomonoids, Semigroup Forum 33 (1986), 15-22   DOI
9 S. M. Fakhruddin, On the category of S-posets, Acta Sci. Math. 52 (1988), 85-92