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

• Autorzy: Sergio A. Celani
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Bounded distributive semilattices; Relative annihilator; Order-ideals; Congruences

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-09-01

zaakceptowano

2014-11-24

online

2014-12-22

Twórcy

autor

Sergio A. Celani

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

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0016