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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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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. |
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| ISSN: | 2391-5455 |