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Remarks on annihilators preserving congruence relations

In: Mathematica Slovaca, vol. 62, no. 3
Sergio A. Celani
Detaily:
Rok, strany: 2012, 389 - 398
Kľúčové slová:
Priestley spaces, congruences, annihilator, quasicomplemented lattices, normal lattices
O článku:
In this note we shall give some results on annihilators preserving congruence relations, or AP-congruences, in bounded distributive lattices. We shall give some new characterizations, and a topological interpretation of the notion of annihilator preserving congruences introduced in [JANOWITZ, M. F.: Annihilator preserving congruence relations of lattices, Algebra Universalis 5 (1975), 391–394]. As an application of these results, we shall prove that the quotient of a quasicomplemented lattice by means of a AP-congruence is a quasicomplemented lattice. Similarly, we will prove that the quotient of a normal latttice by means of a AP-congruence is also a normal lattice.
Ako citovať:
ISO 690:
Celani, S. 2012. Remarks on annihilators preserving congruence relations. In Mathematica Slovaca, vol. 62, no.3, pp. 389-398. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0016-y

APA:
Celani, S. (2012). Remarks on annihilators preserving congruence relations. Mathematica Slovaca, 62(3), 389-398. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0016-y
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