Results 11 to 20 of about 125,341 (125)

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, Banerjee, Abhishek, Naolekar, Anita   +2 more
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On eGE-Algebras

Discussiones 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.
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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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Bipolar fuzzy GE-algebras [PDF]

Journal of Fuzzy Extension and Applications
This paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set ...
Kyoung Ja Lee, Ravikumar Bandaru, Young Jun   +2 more
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Landau Levels and Quantum Group [PDF]

, 1993
We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wavefunctions of the system.
Sato, H. -T.
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Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

Demonstratio Mathematica, 2021
Let ℋ{\mathcal{ {\mathcal H} }} be a complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) denotes the algebra of all bounded linear operators acting on ℋ{\mathcal{ {\mathcal H} }}.
Mesbah Nadia, Messaoudene Hadia, Alharbi Asma   +2 more
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On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras [PDF]

, 2013
For any involution $\sigma$ of a semisimple Lie algebra $\mathfrak g$, one constructs a non-reductive Lie algebra $\mathfrak k$, which is called a $\mathbb Z_2$-contraction of $\mathfrak g$.
Dmitri I. Panyushev, Oksana, S. Yakimova
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The recognition problem for table algebras and reality-based algebras [PDF]

, 2016
Given a finite-dimensional noncommutative semisimple algebra $A$ with involution, we show that $A$ always has an RBA-basis. We look for an RBA-basis that has integral or rational structure constants, and ask if the RBA admits a positive degree map.
Herman, Allen, Muzychuk, Mikhael, Xu, Bangteng   +2 more
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On new universal realizability criteria

Special Matrices, 2022
A list Λ={λ1,λ2,…,λn}\Lambda =\left\{{\lambda }_{1},{\lambda }_{2},\ldots ,{\lambda }_{n}\right\} of complex numbers is said to be realizable if it is the spectrum of an entrywise nonnegative matrix and is said to be universally realizable (UR), if it is
Arrieta Luis E., Soto Ricardo L.
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