The Structure of Principal Filters on Po-Semigroups (1).
Scientia Magna, 2006, Jan, 2, 1
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- 2,99 €
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- 2,99 €
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.
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