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Infinite tensor products of upper triangular matrix algebras.

MATHEMATICA SCANDINAVICA, 1989
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Several supplementary concepts for applied category-theoretical states over an extended Petri net using an example relating to genetic coding: Toward an abstract algebraic formulation of molecular/genetic biology. [PDF]

PLoS One
Sawamura J, Morishita S, Ishigooka J.
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Triangular matrix algebras over quasi-hereditary algebras

Triangular matrix algebras over quasi-hereditary algebras
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Tame triangular matrix algebras over self-injective algebras

Tame triangular matrix algebras over self-injective algebras
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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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