Results 71 to 80 of about 176 (149)

On residuated n -lattice

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Abstract In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation. By these way, the notion of residuated semigroup has been generalized.
Zahiri Saeide, Saeid Arsham Borumand
openaire   +2 more sources

Alexandrov L-Fuzzy Pre-Proximities

Mathematics, 2019
In this paper, we introduce the concepts of Alexandrov L-fuzzy pre-proximities on complete residuated lattices. Moreover, we investigate their relations among Alexandrov L-fuzzy pre-proximities, Alexandrov L-fuzzy topologies, L-fuzzy upper approximate ...
Yong Chan Kim, Ju-Mok Oh
doaj   +1 more source

An Exploration of Ideals and Filters in Triangle Algebras

Axioms
In the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas.
Euclide Noumen, Fabrice Tchoua Yinga, Blaise Blériot Koguep Njionou, Chris Cornelis   +3 more
doaj   +1 more source

(f, g)-DERIVATIONS IN RESIDUATED LATTICES [PDF]

Journal of Algebraic Systems
In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given.
Mbarek Zaoui, Driss Gretete, Brahim Fahid   +2 more
doaj   +1 more source

Stable Topology on Ideals for Residuated Lattices

Transactions on Fuzzy Sets and Systems
Residuated lattices are the major algebraic counterpart of logics without contraction rule, as they are more generalized logic systems including important classes of algebras such as Boolean algebras, MV-algebras, BL-algebras, Stonean residuated lattices,
Ariane GABRIEL Tallee Kakeu, Luc E. Diekouam, Blaise Bleriot Koguep N., Celestin Lele, Daniel Akume   +4 more
doaj  

The “Generator” of Int-Soft Filters on Residuated Lattices

Mathematics, 2019
In this paper, we give the “generator” of int-soft filters and propose the notion of t-int-soft filters on residuated lattices. We study the properties of t-int-soft filters and obtain some commonalities (e.g., the extension property ...
Huarong Zhang, Minxia Luo
doaj   +1 more source

Implication in finite posets with pseudocomplemented sections. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

Non-commutative residuated lattices [PDF]

Transactions of the American Mathematical Society, 1939
In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.† The investigation of such lattices was begun by W.
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Abstract residuation over lattices [PDF]

Bulletin of the American Mathematical Society, 1938
The idea of residuation goes back to Dedekind [3], † who introduced it in the theory of modules. It has since had extensive applications in the theory of algebraic modular systems [6], in the theory of ideals [8], and in certain topics of arithmetic [9]. On account of its fundamental role in several fields of modern algebra, it is desirable to consider
openaire   +4 more sources

Sheffer operation in relational systems. [PDF]

Soft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source