Results 321 to 330 of about 823,346 (364)

The Representation Theory of Brauer Categories I: Triangular Categories

Applied Categorical Structures, 2020
This 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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Efficient Block Algorithms for Parallel Sparse Triangular Solve

International Conference on Parallel Processing, 2020
The 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
semanticscholar   +1 more source

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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Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We 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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A note on the image of polynomials on upper triangular matrix algebras

Communications in Algebra
In the present paper we shall obtain the following result: Let n≥2 and m≥1 be integers. Let p(x1,…,xm) be a polynomial with zero constant term in non-commutative variables over an algebraically closed field K.
Qian Chen
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STRONGLY MAXIMAL TRIANGULAR AF ALGEBRAS

International Journal of Mathematics, 1991
We 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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Ideals in Triangular Af Algebras

Proceedings of the London Mathematical Society, 1994
An ideal \(\mathcal J\) is said to be join-irreducible if whenever \({\mathcal J}= {\mathcal F}\lor {\mathcal G}\) for ideals \(\mathcal F\) and \(\mathcal G\), then either \({\mathcal F}= {\mathcal J}\) or \({\mathcal G}= {\mathcal J}\). We study the class of join- irreducible ideals in those strongly maximal triangular UHF algebras which arise as ...
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IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES

Mathematics of the USSR-Sbornik, 1980
It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question ...
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Polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices

Journal of Algebra, 2021
D. Gonçalves, P. Koshlukov, M. E. Salomão   +2 more
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ON LIE DERIVATIONS OF TRIANGULAR ALGEBRAS

Rocky Mountain Journal of Mathematics
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Liu, Lei, Li, Kaipeng
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