The Structure of Principal Filters on Po-Semigroups (1). The Structure of Principal Filters on Po-Semigroups (1).

The Structure of Principal Filters on Po-Semigroups (1)‪.‬

Scientia Magna, 2006, Jan, 2, 1

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Description de l’éditeur

Abstract The structure of principal filters on any po-semigroup S is investigated by using the relation N which is the smallest complete semilattice congruence on S. In particular, we prove that for any po-semigroup S, N is the equality relation on S if and only if S is a semilattice, and N is the universal relation on S if and only if S is the only principal filter. We also investigate the complete semilattice congruence classes of S. Keywords Principal filters; Complete semilattice congruence; Po-semigroups.

GENRE
Entreprise et management
SORTIE
2006
1 janvier
LANGUE
EN
Anglais
LONGUEUR
11
Pages
ÉDITIONS
American Research Press
DÉTAILS DU FOURNISSEUR
The Gale Group, Inc., a Delaware corporation and an affiliate of Cengage Learning, Inc.
TAILLE
230,1
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