Remarks on some connections between ideals and filters in residuated lattices

Piciu Dana; Dan Christina; Boboc Florentina

doi:10.2478/auom-2024-0024

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jun 2024)

Remarks on some connections between ideals and filters in residuated lattices

Piciu Dana,
Dan Christina,
Boboc Florentina

Affiliations

Piciu Dana: Department of Mathematics, Faculty of Science, University of Craiova, A. I. Cuza Street 13, 200585, Craiova, Romania.
Dan Christina: Department of Mathematics, Faculty of Science, University of Craiova, A. I. Cuza Street 13, 200585, Craiova, Romania.
Boboc Florentina: Department of Mathematics, Faculty of Science, University of Craiova, A. I. Cuza Street 13, 200585, Craiova, Romania.

DOI: https://doi.org/10.2478/auom-2024-0024
Journal volume & issue: Vol. 32, no. 2
pp. 145 – 155

Abstract

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Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.

Published in Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

ISSN: 1224-1784 (Print); 1844-0835 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AUOM

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