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- Publisher
- de Gruyter
- Copyright
- Copyright © 2014 by the
- ISSN
- 2391-5455
- eISSN
- 2391-5455
- DOI
- 10.1515/math-2015-0016
- Publisher site
- See Article on Publisher Site
Abstract
Abstract 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.
Journal
Open Mathematics – de Gruyter
Published: Dec 22, 2014