Results 161 to 170 of about 22,203 (182)

Functional identities on upper triangular matrix algebras

Journal of Mathematical Sciences, 2000
Let \(\mathcal R\) be a ring. The mapping \(f\colon{\mathcal R}\to{\mathcal R}\) is commuting if \([f(x),x]=0\) for all \(x\in{\mathcal R}\). The study of commuting and centralizing mappings (when \([f(x),x]\) is in the centre of \(\mathcal R\)) was initiated by \textit{E. C. Posner} [Proc. Am. Math. Soc.
Beidar, K. I., Brešar, M., Chebotar, M. A.   +2 more
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Tame Triangular Matrix Algebras Over Nakayama Algebras

Journal of the London Mathematical Society, 1986
Recall that each basic finite dimensional algebra A over an algebraically closed field k is a quotient of the path algebra \(kQ_ A\) of the finite quiver \((=\) oriented graph) \(Q_ A\) associated to A, modulo a certain ideal I contained in \(J^ 2\), where J is the Jacobson radical of A.
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The extension dimension of triangular matrix algebras

Linear Algebra and its Applications, 2021
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Zheng, Junling, Gao, Hanpeng
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Superinvolutions on upper-triangular matrix algebras

Journal of Pure and Applied Algebra, 2018
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Ioppolo A., Martino F.
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Graded involutions on block-triangular matrix algebras

Linear Algebra and its Applications, 2020
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Fidelis, Claudemir, Gonçalves, Dimas José, Diniz, Diogo, Yasumura, Felipe Yukihide   +3 more
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GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS

Journal of Algebra and Its Applications, 2012
Let [Formula: see text] be an Artin algebra. Under suitable conditions, we describe all the modules in ⊥Λ, and obtain criteria for the Gorensteinness of Λ. As applications, we determine explicitly all the Gorenstein-projective Λ-modules if Λ is Gorenstein, and all the Gorenstein-projective Tn(A)-modules if A is Gorenstein.
Xiong, Bao-Lin, Zhang, Pu
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l-hereditary triangular matrix algebras of tame type

Archiv der Mathematik, 1990
We call \(T_ 2(A)=\left[ \begin{matrix} A\\ 0\end{matrix} \begin{matrix} A\\ A\end{matrix} \right]\) a triangular matrix algebra over an algebra A. Recall that an algebra A is called \(\ell\)-hereditary if any left (right) ideal in A with a unique maximal left (right) submodule is projective.
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Counting gradings on block-triangular matrix algebras

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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Diogo Diniz, Alex Ramos Borges, Eduardo Fonsêca   +2 more
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The second-kind involutions of upper triangular matrix algebras

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
. We provide a criterion for the equivalency of the second-kind involutions of upper triangular matrix algebras over commutative rings. For an algebra Tn(F ) of upper triangular matrices over a field F it is proven that two involutions are equivalent if and only if they coincide after restriction to F .
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The Images of Completely Homogeneous Polynomials on 2 × 2 Upper Triangular Matrix Algebras

Algebras and Representation Theory, 2020
Yu Wang
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