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Structured Triangular Limit Algebras
Proceedings of the London Mathematical Society, 1997A class of triangular UHF algebras are investigated which have the special property that there exists a sequence of unital multiplicative contractive finite-rank conditional expectations of the algebra into itself, which converges strongly to the identity, whose ranges form an increasing chain with dense union.
Larson, David R., Solel, Baruch
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Almost-triangular Hopf Algebras
Algebras and Representation Theory, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Zhu, Shenglin
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The Representation Theory of Brauer Categories I: Triangular Categories
Applied Categorical Structures, 2020This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie ...
Steven V. Sam, Andrew Snowden
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Bi-Semiderivations on Triangular Algebra
Contemporary MathematicsThe intension of present study is to investigate the structure of bi-semiderivations on triangular algebra with the help of associated module homomorphism.
Aisha Al-Subhit +2 more
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Coordinates for Triangular Operator Algebras
The Annals of Mathematics, 1988Let A be a Cartan subalgebra of a von Neumann algebra M. This means A is a masa in M, the set of unitaries \(u\in M\) satisfying \(u^{-1}Au=A\) generates M, and there is a faithful normal expectation from M onto A. The simplest example has \(M=M_ n({\mathbb{C}})\) with A its subalgebra of diagonal matrices. In their papers [Trans. Amer. Math. Soc. 234,
Muhly, Paul S. +2 more
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Efficient Block Algorithms for Parallel Sparse Triangular Solve
International Conference on Parallel Processing, 2020The sparse triangular solve (SpTRSV) kernel is an important building block for a number of linear algebra routines such as sparse direct and iterative solvers.
Zhengyang Lu, Yuyao Niu, Weifeng Liu
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On a generalized Jordan form of an infinite upper triangular matrix
Linear and multilinear algebra, 2021Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
A. Kostic +3 more
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Tame Triangular Matrix Algebras Over Nakayama Algebras
Journal of the London Mathematical Society, 1986Recall 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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Commuting Maps of Triangular Algebras
Journal of the London Mathematical Society, 2001We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
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STRONGLY MAXIMAL TRIANGULAR AF ALGEBRAS
International Journal of Mathematics, 1991We consider strongly maximal triangular subalgebras of AF algebras. These are the triangular algebras [Formula: see text] such that [Formula: see text] is dense in the ambient AF algebra. We prove that every isometric isomorphism between two strongly maximal triangular subalgebras of the AF algebra [Formula: see text] factors as the composition of two
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