Results 21 to 30 of about 797,892 (301)

On a Topological Operator via Local Closure Function [PDF]

open access: yes, 2023
In this research, we define and study the new topological operator called ?-boundary operator Bd? by merging local closure function in ideal topological spaces.
Tunç, Ayşe Nur   +1 more
core   +1 more source

Classes of algebras and closure operations [PDF]

open access: yesCommunications in Algebra, 2021
The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, parallel theories have started to be developed in various varieties of algebras, such as Lie, Leibniz, and Malcev algebras.
I. S. Gutierrez   +2 more
openaire   +3 more sources

Implicative Closure Operators [PDF]

open access: yesInternational Journal of Fuzzy Logic and Intelligent Systems, 2008
In this paper, we investigate the properties of implicative closure operators on the stsc-quantale L. We find implicative closure operators induced by a function.
Yong Chan Kim, Jung Mi Ko
openaire   +2 more sources

Closure operators on algebras [PDF]

open access: yesInternational Journal of Algebra and Computation, 2015
We study connections between closure operators on an algebra (A, Ω) and congruences on the extended power algebra defined on the same algebra. We use these connections to give an alternative description of the lattice of all subvarieties of semilattice ordered algebras.
Agata Pilitowska, Anna Zamojska-Dzienio
openaire   +3 more sources

P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated.
H. Harizavi
doaj   +1 more source

The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms

open access: yesJournal of Mathematics, 2022
This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined.
Zanyar A. Ameen   +3 more
doaj   +1 more source

Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
doaj   +1 more source

Connectivity with respect to α-discrete closure operators

open access: yesOpen Mathematics, 2022
We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
doaj   +1 more source

Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications

open access: yesMathematics, 2021
This paper provides a brief overview of modern applications of nonbinary logic models, where the design of heterogeneous computing systems with small computing units based on three-valued logic produces a mathematically better and more effective solution
Elmira Yu. Kalimulina
doaj   +1 more source

Some Unitary Operators on Hoop-algebras

open access: yesFuzzy Information and Engineering, 2017
In this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras.
R. Tayebi Khorami, A. Borumand Saeid
doaj   +1 more source

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