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ORDER-CONGRUENCES ON S-POSETS
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 Title & Authors
ORDER-CONGRUENCES ON S-POSETS
XIE XIANG-YUN; SHI XIAOPING;
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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.
 Keywords
S-poset;order-congruence;quasi-chain module p;pseudo order;
 Language
English
 Cited by
1.
On flatness properties of cyclic S-posets, Semigroup Forum, 2008, 77, 2, 248  crossref(new windwow)
2.
On strongly flat and condition (P) S-posets, Semigroup Forum, 2011, 82, 3, 530  crossref(new windwow)
3.
Axiomatisability problems for S-posets, Semigroup Forum, 2011, 82, 2, 199  crossref(new windwow)
4.
Perfection for pomonoids, Semigroup Forum, 2010, 81, 1, 102  crossref(new windwow)
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