Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices-Reference-Cited by-同舟云学术

Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices

Published:2014-12-22 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Celani Sergio A.¹

Affiliation:

1. 1CONICET and Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000, Tandil, Argentina

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0016/pdf

Reference11 articles.

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4. Representation of Hilbert algebras and implicative semilattices;Celani;Central European Journal of Mathematics,2003

5. Relative annihilators in lattices;Mandelker;Duke Math J,1970

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2. Annihilator-preserving congruence relations in distributive nearlattices;Mathematica Bohemica;2018-01-24