Results 51 to 60 of about 72 (69)

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

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

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

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

A topology related to implication and upsets on a bounded BCK-algebra

Open Mathematics
The main purpose of this article is to investigate a topology based on implication and upsets in a bounded BCK-algebra. First, we introduce a special kind of sets associated with implication and upsets in a bounded BCK-algebra, and some basic properties ...
Wu Supeng, Liu Hui, Yang Jiang
doaj   +1 more source

The logic induced by effect algebras. [PDF]

Soft comput, 2020
Chajda I, Halaš R, Länger H.
europepmc   +1 more source

Topological Up-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets.
Satirad Akarachai, Iampan Aiyared
doaj   +1 more source

Some properties of epimorphisms of Hilbert algebras

Open Mathematics, 2010
Buşneag Dumitru, Ghiţă Mircea
doaj   +1 more source

The characterization of Nelson algebras by Sheffer stroke

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, Sheffer stroke Nelson algebras (briefly, s-Nelson algebras), (ultra) ideals, quasi-subalgebras, quotient sets, and fuzzy structures on these algebraic structures are introduced.
Oner Tahsin, Katican Tugce, Saeid Arsham Borumand   +2 more
doaj   +1 more source

Closure operators on hoops

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article, we study relationships between closure operators and hoops. We investigate the properties of closure operators and hoop-homomorphism on hoops. We show that the image of a closure operator on a hoop is isomorphic to a quotient hoop.
Borzooei R.A., Aaly Kologani M., Rezaei G.R., Mohseni Takallo M.   +3 more
doaj   +1 more source