Results 31 to 40 of about 155,178 (312)

A CHARACTERIZATION OF BAER-IDEALS [PDF]

open access: yesJournal of Algebraic Systems, 2014
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
doaj   +1 more source

ψ3 as an Upper Triangular Matrix

open access: yesK-Theory, 2005
Comment: 26 ...
Jon Barker, Victor Snaith
openaire   +3 more sources

Unitary Triangularization of a Nonsymmetric Matrix [PDF]

open access: yesJournal of the ACM, 1958
A method for the inversion of a nonsymmetric matrix, due to J. W. Givens, has been in use at Oak Ridge National Laboratory and has proved to be highly stable numerically but to require a rather large number of arithmetic operations, including a total of $n(n-1)/2$ square roots.
openaire   +2 more sources

The group inverse of a triangular matrix

open access: yesLinear Algebra and its Applications, 1996
Block conditions are given for the group inverse of a triangular matrix over a field to exist. These involve the zero-nonzero Schur complement. Applications are given to idempotent matrices.
Xuzhou Chen, Robert E. Hartwig
openaire   +2 more sources

The Algebra of $S^2$-Upper Triangular Matrices [PDF]

open access: yesarXiv, 2023
Based on work presented in [4], we define $S^2$-Upper Triangular Matrices and $S^2$-Lower Triangular Matrices, two special types of $d\times d(2d-1)$ matrices generalizing Upper and Lower Triangular Matrices, respectively. Then, we show that the property that the determinant of an Upper Triangular Matrix is the product of its diagonal entries is ...
arxiv  

Nonlinear maps preserving Lie products on triangular algebras

open access: yesSpecial Matrices, 2016
In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
doaj   +1 more source

Hochschild Cohomology of Triangular Matrix Algebras

open access: yesJournal of Algebra, 2000
AbstractWe study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B.
Michelena, Sandra, Platzeck, Maria Ines
openaire   +3 more sources

Seesaw and leptogenesis: a triangular ansatz [PDF]

open access: yesMod.Phys.Lett.A26:1375-1379,2011, 2010
A triangular ansatz for the seesaw mechanism and baryogenesis via leptogenesis is explored. In a basis where both the charged lepton and the Majorana mass matrix are diagonal, the Dirac mass matrix can generally be written as the product of a unitary times a triangular matrix. We assume the unitary matrix to be the identity and then an upper triangular
arxiv   +1 more source

Representation dimensions of triangular matrix algebras

open access: yesLinear Algebra and its Applications, 2013
19 ...
Shunhua Zhang, Hongbo Yin
openaire   +3 more sources

Functional identities on upper triangular matrix rings

open access: yesOpen Mathematics, 2020
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
doaj   +1 more source

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