Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
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 tha...
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De Gruyter
2014-12-01
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| Series: | Open Mathematics |
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| Online Access: | http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0016/math-2015-0016.xml?format=INT |
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doaj-e20c488ba93c4e9b9b4053aeb2e0ccfd2020-11-24T23:44:16ZengDe GruyterOpen Mathematics2391-54552014-12-0113110.1515/math-2015-0016math-2015-0016Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilatticesCelani Sergio A.0CONICET and Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000, Tandil, ArgentinaIn 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.http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0016/math-2015-0016.xml?format=INTBounded distributive semilattices Relative annihilatorOrder-idealsCongruences |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Celani Sergio A. |
| spellingShingle |
Celani Sergio A. Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices Open Mathematics Bounded distributive semilattices Relative annihilator Order-ideals Congruences |
| author_facet |
Celani Sergio A. |
| author_sort |
Celani Sergio A. |
| title |
Relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| title_short |
Relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| title_full |
Relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| title_fullStr |
Relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| title_full_unstemmed |
Relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| title_sort |
relative annihilator-preserving congruence
relations and relative annihilator-preserving
homomorphisms in bounded distributive
semilattices |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2014-12-01 |
| description |
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. |
| topic |
Bounded distributive semilattices Relative annihilator Order-ideals Congruences |
| url |
http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0016/math-2015-0016.xml?format=INT |
| work_keys_str_mv |
AT celanisergioa relativeannihilatorpreservingcongruencerelationsandrelativeannihilatorpreservinghomomorphismsinboundeddistributivesemilattices |
| _version_ |
1725499353816104960 |