Results 11 to 20 of about 1,778 (223)
GE-Algebras Advanced by Intuitionistic Fuzzy Points
MathematicsIn 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
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DERIVATIONS OF PRIME FILTER THEOREMS GENERATED BY VARIOUS $\cap $-STRUCTURES IN TRANSITIVE $GE$-ALGEBRAS [PDF]
Journal of Algebraic SystemsProperties 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
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Bulletin of the Section of Logic, 2021 Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced ...
Ravikumar Bandaru +2 more
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Belligerent GE-filters in GE-Algebras
Journal 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
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Journal 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
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The key exchange protocol based on non-commutative elements of Clifford algebra [PDF]
Известия 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.
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BV-operators and the secondary Hochschild complex
Comptes 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
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Elitable GE-filters of bordered GE-algebras
Soft 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
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Doubly slice knots and obstruction to Lagrangian concordance
Comptes 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
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Prominent interior GE-filters of GE-algebras
AIMS Mathematics, 2021 <abstract><p>The concept of a prominent interior GE-filter (of type 1 and type 2) is introduced, and their properties are investigated. The relationship between a prominent GE-filter and a prominent interior GE-filter and the relationship between an interior GE-filter and a prominent interior GE-filter are discussed.
Seok-Zun Song +2 more
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