Results 41 to 50 of about 72 (69)

Some decompositions of filters in residuated lattices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana, Dan Christina Theresia, Chirteş Florentina   +2 more
doaj   +1 more source

Relation Between Be-Algebras and G-Hilbert Algebras

Discussiones Mathematicae - General Algebra and Applications, 2018
Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
doaj   +1 more source

Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras

Topological Algebra and its Applications, 2023
The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated.
Alemayehu Teferi Getachew, Eshetie Workaferahu Solomon, Bandaru Ravikumar, Jun Young Bae   +3 more
doaj   +1 more source

Filters of strong Sheffer stroke non-associative MV-algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied.
Oner Tahsin, Katican Tugce, Saeid Arsham Borumand, Terziler Mehmet   +3 more
doaj   +1 more source

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source

On residuated n-lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
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.
Zahiri Saeide, Saeid Arsham Borumand
doaj   +1 more source

The Up-Isomorphism Theorems for Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we construct the fundamental theorem of UP-homomorphisms in UP-algebras. We also give an application of the theorem to the first, second, third and fourth UP-isomorphism theorems in UP-algebras.
Iampan Aiyared
doaj   +1 more source

An Injective Pseudo-BCI Algebra is Trivial

Discussiones Mathematicae - General Algebra and Applications, 2019
Injective pseudo-BCI algebras are studied. There is shown that the only injective pseudo-BCI algebra is the trivial one.
Dymek Grzegorz
doaj   +1 more source

Generalized state maps and states on pseudo equality algebras

Open Mathematics, 2018
In this paper, we attempt to cope with states in a universal algebraic setting, that is, introduce a notion of generalized state map from a pseudo equality algebra X to an arbitrary pseudo equality algebra Y.
Cheng Xiao Yun, Xin Xiao Long, He Peng Fei   +2 more
doaj   +1 more source

State maps on semihoops

Open Mathematics, 2018
In this paper, we introduce the notion of state maps from a semihoop H1 to another semihoop H2, which is a generalization of internal states (or state operators) on a semihoop H.
Fu Yu Long, Xin Xiao Long, Wang Jun Tao
doaj   +1 more source