Results 1 to 10 of about 607,870 (225)
Lie algebras of differentiations of linear algebras over a field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov +2 more
doaj +2 more sources
Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra [PDF]
, 2007 The article is devoted to quasilinear operators in spaces over quaternions and octonions. Spectral theory of bounded and unbounded operators is investigated. Analogs of C^* algebras are defined and studied.
S. V. Lüdkovsky
openalex +3 more sources
A Note on the Relativistic Transformation Properties of Quantum Stochastic Calculus [PDF]
EntropyWe present a simple argument to derive the transformation of the quantum stochastic calculus formalism between inertial observers and derive the quantum open system dynamics for a system moving in a vacuum (or, more generally, a coherent) quantum field ...
John E. Gough
doaj +2 more sources
A Study on Neutrosophic Algebra [PDF]
Neutrosophic Sets and Systems, 2022 The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is ...
T. Nagaiah +3 more
doaj +1 more source
Randomized Numerical Linear Algebra : A Perspective on the Field With an Eye to Software [PDF]
arXiv.org, 2023 Randomized numerical linear algebra - RandNLA, for short - concerns the use of randomization as a resource to develop improved algorithms for large-scale linear algebra computations. The origins of contemporary RandNLA lay in theoretical computer science,
Riley Murray +12 more
semanticscholar +1 more source
Differentiation of linear algebras with a unit over a field
Дифференциальная геометрия многообразий фигур, 2023 Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov +2 more
doaj +1 more source
Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
doaj +1 more source
Characteristic of Quaternion Algebra Over Fields
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Quaternion is an extension of the complex number system. Quaternion are discovered by formulating 4 points in 4-dimensional vector space using the cross product between two standard vectors. Quaternion algebra over a field is a 4-dimensional vector space
Muhammad Faldiyan +2 more
doaj +1 more source
A class of continuous non-associative algebras arising from algebraic groups including $E_8$
Forum of Mathematics, Sigma, 2021 We give a construction that takes a simple linear algebraic group G over a field and produces a commutative, unital, and simple non-associative algebra A over that field.
Maurice Chayet, Skip Garibaldi
doaj +1 more source
Nilpotent Lie algebras of derivations with the center of small corank
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
doaj +1 more source