Results 71 to 80 of about 662 (160)

Strictly join irreducible varieties of residuated lattices [PDF]

, 2022
We study (strictly) join irreducible varieties in the lattice of subvarieties of residuated lattices. We explore the connections with well-connected algebras and suitable generalizations, focusing in particular on representable varieties.
Ugolini, Sara, Aglianò, Paolo
core   +1 more source

Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu, Ravikumar Bandaru, Ramakoteswara Rao Kotha, Rahul Shukla, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

Co-stone Residuated Lattices [PDF]

2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010
33 ...
openaire   +2 more sources

Matrices over residuated lattices [PDF]

, 2014
Residuated lattices simultaneously generalise lattice-ordered groups and the structures used to model various many-valued logics (e.g., Boolean algebras, Heyting algebras and MV-algebras).

core  

Mp-Residuated Lattices

Kragujevac Journal of Mathematics
This paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A combination of algebraic and topological methods is applied to obtain new and structural results on mp-residuated lattices.
Rasouli, Saeed, Dehghani, Amin
openaire   +3 more sources

Monotone modal operators on bounded integral residuated lattices [PDF]

, 2012
summary:Bounded integral residuated lattices form a large class of algebras containing some classes of commutative and noncommutative algebras behind many-valued and fuzzy logics. In the paper, monotone modal operators (special cases of closure operators)
Rachůnek, Jiří, Svoboda, Zdeněk
core   +1 more source

ℒ-Fuzzy Ideals of Residuated Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole, Koguep Blaise Blériot, Akume Daniel, Lele Celestin   +3 more
doaj   +1 more source

Fuzzy ideals and fuzzy congruences of co-residuated lattices [PDF]

Journal of Hebei University of Science and Technology
In order to expand the theory of fuzzy logic algebra, the fuzzy ideals and fuzzy congruences of co-residuated lattices and their interrelationships were studied.
Xinyue HAN, Wei YAO
doaj   +1 more source

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

The Structure of Finite Commutative Idempotent Involutive Residuated Lattices

, 2021
We characterize commutative idempotent involutive residuated lattices as disjoint unions of Boolean algebras arranged over a distributive lattice. We use this description to introduce a new construction, called gluing, that allows us to build new members
Valota, Diego, Jipsen, Peter, Tuyt, Olim
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