Results 61 to 70 of about 2,499,965 (359)
The singularity category of a quadratic monomial algebra [PDF]
, 2015 We exploit singular equivalences between artin algebras, that are induced from certain functors between the stable module categories. Such functors are called pre-triangle equivalences.
Xiao-Wu Chen
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Non-commutative finite associative algebras of 2-dimensional vectors [PDF]
Computer Science Journal of Moldova, 2017 In this paper properties of the non-commutative finite associative algebra of two-dimensional vectors are presented. Interesting features of algebra are mutual associativity of all modifications of the defined parameterized multiplication operation and ...
Alexander Moldovyan +2 more
doaj
Academic Achievement in Algebra of the Public High School Students in the New Normal
Philippine Social Science Journal, 2021 This study describes the academic achievement level in Algebra of the public secondary school students in the new normal as a whole and when grouped according to sex and parent's highest educational attainment.
Diana B. Rodrigo, Alfredo D. Alave
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Han's conjecture and Hochschild homology for null-square projective algebras [PDF]
, 2017 Let $\mathcal H$ be the class of algebras verifying Han's conjecture. In this paper we analyse two types of algebras with the aim of providing an inductive step towards the proof of this conjecture.
Claude Cibils, M. J. Redondo, A. Solotar
semanticscholar +1 more source
Yang–Baxter maps, discrete integrable equations and quantum groups
Nuclear Physics B, 2018 For every quantized Lie algebra there exists a map from the tensor square of the algebra to itself, which by construction satisfies the set-theoretic Yang–Baxter equation.
Vladimir V. Bazhanov, Sergey M. Sergeev
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras
Nonlinear Analysis, 2022 The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
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, 1994 Using a representation of the q-deformed Lorentz algebra as differential operators on quantum Minkowski space, we define an algebra of observables for a q-deformed relativistic quantum mechanics with spin zero. We construct a Hilbert space representation
B. Drabant +7 more
core +1 more source
Squared Hopf algebras and reconstruction theorems [PDF]
Banach Center Publications, 1997 Given an abelian k-linear rigid monoidal category V, where k is a perfect field, we define squared coalgebras as objects of cocompleted V tensor V (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication. Based on this, (squared) bialgebras and Hopf algebras are defined without use of braiding.
openaire +3 more sources
Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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Square root of a multivector in 3D Clifford algebras
Nonlinear Analysis, 2020 The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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