n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices

Fabrice Tchoua Yinga (), Blaise B. Koguep Njionou, Etienne R. Temgoua Alomo () and Celestin Lele ()
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Fabrice Tchoua Yinga: Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
Blaise B. Koguep Njionou: Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
Etienne R. Temgoua Alomo: #x2020;Department of Mathematics, École Normale Supérieure de Yaoundé, University of Yaoundé 1, P.O. Box 47, Yaoundé, Cameroon
Celestin Lele: Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 03, 427-445

Abstract: In this paper, we introduce the concepts of n-fold boolean ideals, n-fold implicative ideals and n-fold integral ideals in residuated lattices and we state and prove their properties. Several characterizations of these notions are derived and the relations between those notions are investigated. Also, we construct the correspondence between the notions of n-fold ideal and n-fold filter in residuated lattices.

Keywords: Residuated lattice; ideal; n-fold ideal; n-fold filter; complement element (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:15:y:2019:i:03:n:s1793005719500248

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DOI: 10.1142/S1793005719500248

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