Results 191 to 200 of about 66,979 (212)

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 multilinear polynomials on 2 × 2 upper triangular matrix algebras

Linear and Multilinear Algebra, 2019
Yu Wang
exaly  

Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020
Victor M Adukov, G S Mishuris, Sergei V Rogosin   +2 more
exaly  

Jordan isomorphisms of triangular matrix algebras over a connected commutative ring

Linear Algebra and Its Applications, 2000
Matej Bresar
exaly  

Decomposition of Jordan Automorphisms of Strictly Upper Triangular Matrix Algebra Over Commutative Rings

Communications in Algebra, 2007
Xing Tao Wang
exaly  

Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring

Communications in Algebra, 2017
Iryna Kashuba
exaly