Results 41 to 50 of about 812,891 (203)

Semisimple Triangular Hopf Algebras and Tannakian Categories [PDF]

, 2000
Shlomo Gelaki
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Nonlinear Lie derivations of triangular algebras

Linear Algebra and its Applications, 2010
Let \(\mathcal A\) be an algebra over a commutative ring \(\mathcal R\). A map \(\delta\colon\mathcal A\to\mathcal A\) is called an additive derivation if it is additive and satisfies \(\delta(xy)=\delta(x)y+x\delta(y)\) for all \(x,y\in\mathcal A\). If there exists an element \(a\in\mathcal A\) such that \(\delta(x)=[x,a]\) for all \(x\in\mathcal A\),
Yu, Weiyan, Zhang, Jianhua
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2-recollements of singualrity categories and Gorenstein defect categories over triangular matrix algebras [PDF]

, 2020
Huanhuan Li, Dandan Yang, Yuefei Zheng, Jiangsheng Hu   +3 more
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Triangular UHF algebras

Journal of Functional Analysis, 1990
AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
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On (Co)homology of triangular Banach algebras [PDF]

Banach Center Publications, 2005
Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unital T-bimodule, X_{AA}=1_AX1_A, X_{BB}=1_BX1_B, X_{AB}=1_AX1_B and X_{BA}=1_BX1_A.
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Graded triangular algebras

The Electronic Journal of Linear Algebra, 2014
The structure of graded triangular algebras T of arbitrary dimension are studied in this paper. This is motivated in part for the important role that triangular algebras play in the study of oriented graphs, upper triangular matrix algebras or nest algebras.
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Characterizations of Lie derivations of triangular algebras

Linear Algebra and its Applications, 2011
A triangular algebra \(T=T(A,X,B)\) has the form of an upper triangular matrix ring with elements having diagonal entries in \(A\) and \(B\) and upper right entries in \(X\); \(A\) and \(B\) are unital algebras over a commutative ring \(R\) with 1, and \(X\) is an \(A\)-\(B\)-bimodule that is faithful on each side. The center of \(T\) is \(Z(T)=\{\text{
Ji, Peisheng, Qi, Weiqing
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Gradings on the algebra of triangular matrices as a Lie algebra: Revisited

Journal of Algebra
We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the same authors. We provide streamlined proofs, and present a complete classification of isomorphism classes of the gradings.
Plamen Koshlukov, Felipe Yukihide Yasumura   +1 more
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k-Commuting maps on triangular algebras

Linear Algebra and its Applications, 2012
In this paper, \(k\)-commuting maps on certain triangular algebras are determined. As an application it is shown that every \(k\)-commuting map on an upper triangular matrix algebra over a unital commutative ring of 2-torsion free or a nest algebra is proper.
Du, Yiqiu, Wang, Yu
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Local Centrally Essential Subalgebras of Triangular Algebras [PDF]

, 2020
O. V. Lyubimtsev, A. A. Tuganbaev
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