Results 71 to 80 of about 558 (113)

On fuzzy BCC-ideals over a t-norm [PDF]

, 2000
Using a t-norm T, the notion of T-fuzzy BCC-ideals of BCC-algebras is introduced, and some of their properties are investigated.
W. A. Dudek, Y. B. Jun
core  

The Sheffer stroke operation reducts of basic algebras

Open Mathematics, 2017
In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras.
Oner Tahsin, Senturk Ibrahim
doaj   +1 more source

Lattice of closure endomorphisms of a Hilbert algebra

, 2017
A closure endomorphism of a Hilbert algebra A is a mapping that is simultaneously an endomorphism of and a closure operator on A. It is known that the set CE of all closure endomorphisms of A is a distributive lattice where the meet of two elements is ...
Cīrulis, Jānis
core  

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

Introducing Fully Up-Semigroups

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper, we introduce some new classes of algebras related to UP-algebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a ...
Iampan Aiyared
doaj   +1 more source

Congruences of Sheffer stroke basic algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper, congruences and (order, prime and compatible) filters are introduced in Sheffer stroke basic algebras. They are interrelated with each other.
Senturk Ibrahim, Oner Tahsin, Saeid Arsham Borumand   +2 more
doaj   +1 more source

Convergences in perfect BL-algebras [PDF]

, 2007
The aim of the paper is to investigate some concepts of convergence in the class of perfect BL-algebras. Similarity convergence was developed by G. Georgescu and A.
Ciungu, L.C.
core   +1 more source

Residuated Structures Derived from Commutative Idempotent Semirings

Discussiones Mathematicae - General Algebra and Applications, 2019
Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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

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