Results 61 to 70 of about 2,499,965 (359)

The singularity category of a quadratic monomial algebra [PDF]

open access: yes, 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
semanticscholar   +1 more source

Non-commutative finite associative algebras of 2-dimensional vectors [PDF]

open access: yesComputer 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

open access: yesPhilippine 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
doaj   +1 more source

Han's conjecture and Hochschild homology for null-square projective algebras [PDF]

open access: yes, 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

open access: yesNuclear 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
doaj   +1 more source

Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras

open access: yesNonlinear 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
doaj   +1 more source

Hilbert Space Representation of an Algebra of Observables for q-Deformed Relativistic Quantum Mechanics

open access: yes, 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]

open access: yesBanach 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

open access: yesNuclear 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
doaj   +1 more source

Square root of a multivector in 3D Clifford algebras

open access: yesNonlinear 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
doaj   +1 more source

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