Results 21 to 30 of about 1,189 (299)

Hochschild Cohomology of Triangular Matrix Algebras [PDF]

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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Invariants of triangular Lie algebras [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
Boyko, Vyacheslav M., Patera, Jiri, Popovych, Roman   +2 more
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Jordan {g,h}-derivations on triangular algebras

Open Mathematics, 2020
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
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Operators on triangular algebras

Linear Algebra and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sumanth Datt, Uma N. Iyer, G. Koteswara Rao   +2 more
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On Hopf algebras with triangular decomposition [PDF]

, 2021
In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules.
Vay, Cristian Damian
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ON MULTIPLICATIVE LIE n-HIGHER DERIVATIONS OF TRIANGULAR ALGEBRAS [PDF]

, 2021
Let $\mathrm{R}$ be a commutative ring with unity, $\mathrm{A},\mathrm{B}$ be $\mathrm{R}$-algebras and $\mathrm{M}$ be an $(\mathrm{A}, \mathrm{B})$-bimodule. Let $\mathfrak{T}=Tri(\mathrm{A},\mathrm{M},\mathrm{B})$ be a $(n-1)$-torsion free triangular
Jabeen, Aisha, Ansari, Mohammad Afajal, Akhtar, Mohd Shuaib, Ashraf, Mohammad   +3 more
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Generalized Lie n-derivations on arbitrary triangular algebras

Open Mathematics, 2023
In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
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Jordan centralizer maps on trivial extension algebras

Demonstratio Mathematica, 2020
The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali, Ghomanjani Fateme, Shateyi Stanford   +2 more
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Left $\phi$-biflatness and $\phi$-biprojectivity of certain Banach algebras with applications [PDF]

AUT Journal of Mathematics and Computing
This paper continues the investigation initially begun in \cite{srp1}. We show that left $\phi$-biflatness and left $\phi$-biprojectivity are closely related to the notions of left $\phi$-amenability and $\phi$-inner amenability.
Solaleh Salimi, Amin Mahmoodi, Mehdi Rostami, Amir Sahami   +3 more
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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Journal of Mathematics, 2021
Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
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