Results 11 to 20 of about 719,078 (260)

GE-Algebras Advanced by Intuitionistic Fuzzy Points

open access: yesMathematics
In this paper, we introduce the notion of intuitionistic fuzzy GE-algebra by combining the concepts of GE-algebras and intuitionistic fuzzy sets. We provide a necessary and sufficient condition for an intuitionistic fuzzy set to form an intuitionistic ...
Amal S. Alali   +3 more
doaj   +3 more sources

DERIVATIONS OF PRIME FILTER THEOREMS GENERATED BY VARIOUS $\cap $-STRUCTURES IN TRANSITIVE $GE$-ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems
Properties of prime filters and maximal filters of transitive GE-algebras are investigated. An element-wise characterization is derived for the smallest GE-filter containing a given set.
Sambasiva RAO Mukkamala
doaj   +3 more sources

Nonexpansive Mappings and Fixed Point Theory in Fuzzy Normed GE-Algebras

open access: yesAxioms
In this paper, we investigate the theory of nonexpansive mappings in the framework of fuzzy normed GE-algebras. After recalling the fundamental concepts of GE-algebras and fuzzy GE-norms, we introduce the notion of fuzzy nonexpansive mappings and examine
Prashant Patel   +2 more
doaj   +2 more sources

Interior GE-Algebras

open access: yesJournal of Mathematics, 2021
The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE-algebras and bordered interior GE-algebras are introduced, and their relations and properties are investigated.
Jeong-Gon Lee   +3 more
doaj   +1 more source

Belligerent GE-filters in GE-Algebras

open access: yesJournal of the Indonesian Mathematical Society, 2022
The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.
Bandaru, Ravikumar   +2 more
openaire   +2 more sources

The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
Many of the asymmetric cryptography protocols are based on operations performed on commutative algebraic structures, which are vulnerable to quantum attacks.
Chukanov, Sergei N.
doaj   +1 more source

BV-operators and the secondary Hochschild complex

open access: yesComptes Rendus. Mathématique, 2021
We introduce the notion of a BV-operator $\Delta =\lbrace \Delta ^n:V^n\longrightarrow V^{n-1}\rbrace _{n\ge 0}$ on a homotopy $G$-algebra $V^\bullet $ such that the Gerstenhaber bracket on $H(V^\bullet )$ is determined by $\Delta $ in a manner similar ...
Balodi, Mamta   +2 more
doaj   +1 more source

Elitable GE-filters of bordered GE-algebras

open access: yesSoft Computing, 2022
AbstractIn this paper, the notions of maximal GE-filter and prime GE-filter of a GE-algebra are introduced and the relation between them is given. Some characterizations of prime GE-filters of a transitive GE-algebra are given in terms of the GE-filter generated by a subset of a transitive GE-algebra.
Jeong-Gon Lee   +3 more
openaire   +1 more source

On eGE-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
A new algebraic structure was introduced, called an eGE-algebra, which is a generalisation of a GE-algebra and investigated its properties. We explore the definition of filters and the quotient algebra associated with such filters.
Bandaru R.K., Rafi N., Rezaei A.
doaj   +1 more source

Doubly slice knots and obstruction to Lagrangian concordance

open access: yesComptes Rendus. Mathématique, 2023
In this short note we observe that a result of Eliashberg and Polterovitch allows to use the doubly slice genus as an obstruction for a Legendrian knot to be a slice of a Lagrangian concordance from the trivial Legendrian knot with maximal Thurston ...
Chantraine, Baptiste, Legout, Noémie
doaj   +1 more source

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