Results 21 to 30 of about 66,979 (212)

Hochschild Cohomology of Triangular Matrix Algebras

Journal of Algebra, 2000
In the last years, the study of the Hochschild cohomology has played an important role in the representation theory of finite dimensional algebras. In the paper under review, the authoresses study the Hochschild cohomology of a triangular matrix algebra of the form \(B=\left(\begin{smallmatrix} R &0\\ M &A\end{smallmatrix}\right)\).
Michelena, Sandra, Platzeck, Maria Ines
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Triangular matrix algebras over Hensel rings [PDF]

Proceedings of the American Mathematical Society, 1973
Let (R, m) be a local Hensel ring and A an algebra over R which is finitely generated and projective as an R-module. If A contains a complete set of mutually orthogonal primitive idempotents e 1 , ⋯ , e n {e_1 ...
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Super-Jordanian Quantum Superalgebra ${\cal U}_{h}(osp(2/1))$ [PDF]

, 2003
A triangular quantum deformation of $ osp(2/1) $ from the classical $r$-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and tensor operators are considered for the deformed $ osp(
Aizawa, N., Chakrabarti, R., Segar, J.
core   +1 more source

Involutions for upper triangular matrix algebras

Advances in Applied Mathematics, 2006
The first result in the paper under review is the description of the involutions of the first kind (which fix the centre) of the algebra \(UT_n(F)\) of \(n\times n\) upper triangular matrices over a field of characteristic different from 2. The authors show that, up to isomorphism of algebras with involution, there are two types of involutions.
DI VINCENZO, Onofrio Mario, P. KOSHLUKOV, R. LA SCALA   +2 more
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations

Journal of Chemistry, 2020
In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu, Jin Xie, Zhi Liu, Jiahuan Huang   +3 more
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Representation dimensions of triangular matrix algebras

Linear Algebra and its Applications, 2013
19 ...
Yin, Hongbo, Zhang, Shunhua
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Boundary matrices for the higher spin six vertex model

Nuclear Physics B, 2019
In this paper we consider solutions to the reflection equation related to the higher spin stochastic six vertex model. The corresponding higher spin R-matrix is associated with the affine quantum algebra Uq(sl(2)ˆ).
Vladimir V. Mangazeev, Xilin Lu
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Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

Mathematics, 2020
The max-Łukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Łukasiewicz triangular norm.
Martin Gavalec, Zuzana Němcová
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Algebras of right ample semigroups

Open Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

Известия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker, V. M. Levchuk, E. A. Sotnikova   +2 more
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