<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Remarks on some connections between ideals and filters in residuated lattices

Faculty of Science, University of Craiova

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Remarks on some connections between ideals and filters in residuated lattices"}

Ideals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish...

Remarks on some connections between ideals and filters in residuated lattices

Published Online: Jul 10, 2024

Page range: 145 - 155

Received: May 03, 2023

Accepted: Oct 21, 2023

DOI: https://doi.org/10.2478/auom-2024-0024

Keywords
Residuated lattice, filter, ideal, MV-ideal, MV-filter

© 2024 Dana Piciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Remarks on some connections between ideals and filters in residuated lattices

Published Online: Jul 10, 2024

Page range: 145 - 155

Received: May 03, 2023

Accepted: Oct 21, 2023

DOI: https://doi.org/10.2478/auom-2024-0024

KeywordsResiduated lattice, filter, ideal, MV-ideal, MV-filter

© 2024 Dana Piciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Residuated lattice, filter, ideal, MV-ideal, MV-filter