Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
Sergio A. Celani
Open Mathematics, Tome 13 (2015), / Harvested from The Polish Digital Mathematics Library
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In this paper we shall study a notion of relative annihilator-preserving congruence relation and relative annihilator-preserving homomorphism in the class of bounded distributive semilattices. We shall give a topological characterization of this class of semilattice homomorphisms. We shall prove that the semilattice congruences that are associated with filters are exactly the relative annihilator-preserving congruence relations.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:268842 
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     author = {Sergio A. Celani},
     title = {Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices},
     journal = {Open Mathematics},
     volume = {13},
     year = {2015},
     zbl = {1334.06005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0016}
}

Sergio A. Celani. Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0016/

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