Results 181 to 190 of about 66,979 (212)

Generalized Jordan derivations on triangular matrix algebras

Linear and Multilinear Algebra, 2007
In this note, we prove that every generalized Jordan derivation from the algebra of all upper triangular matrices over a commutative ring with identity into its bimodule is the sum of a generalized derivation and an antiderivation.
Fei Ma, Guoxing Ji
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Piecewise Hereditary Triangular Matrix Algebras

Algebra Colloquium, 2021
For any positive integer [Formula: see text], we clearly describe all finite-dimensional algebras [Formula: see text] such that the upper triangular matrix algebras [Formula: see text] are piecewise hereditary. Consequently, we describe all finite-dimensional algebras [Formula: see text] such that their derived categories of [Formula: see text ...
Yiyu Li, Ming Lu
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Gradings on block-triangular matrix algebras

Proceedings of the American Mathematical Society, 2023
Upper triangular, and more generally, block-triangular matrices, are rather important in Linear Algebra, and also in Ring theory, namely in the theory of PI algebras (algebras that satisfy polynomial identities). The group gradings on such algebras have been extensively studied during the last decades.
Diniz, Diogo, Da Silva, José Lucas Galdino, Koshlukov, Plamen   +2 more
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τ-Tilting modules over triangular matrix artin algebras

International Journal of Algebra and Computation, 2021
Let [Formula: see text] and [Formula: see text] be artin algebras and [Formula: see text] the triangular matrix algebra with [Formula: see text] a finitely generated ([Formula: see text])-bimodule. We construct support [Formula: see text]-tilting modules and ([Formula: see text]-)tilting modules in [Formula: see text] from that in [Formula: see text ...
Peng, Yeyang, Ma, Xin, Huang, Zhaoyong
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Graded Involutions on Upper-triangular Matrix Algebras

Algebra Colloquium, 2009
Let UTn be the algebra of n × n upper-triangular matrices over an algebraically closed field of characteristic zero. We describe all G-gradings on UTn by a finite abelian group G commuting with an involution (involution gradings).
VALENTI, Angela, ZAICEV MV
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Triangular matrix algebras over affine quasi-hereditary algebras

Linear Algebra and its Applications, 2022
Quasi-hereditary algebras (and its module categories called highest weight categories) were introduced by \textit{E. Cline} et al. [J. Reine Angew. Math. 391, 85--99 (1988; Zbl 0657.18005)] with many applications to representation theory and other related fields. There are many ways to construct new quasi-hereditary algebras from old ones. Affine quasi-
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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioppolo A., Martino F.
openaire   +4 more sources