Results 251 to 260 of about 3,271,968 (288)

Endomorphisms of upper triangular matrix semirings

Communications in Algebra, 2021
We give a description of the class of endomorphisms in the semiring UTMn(S) of upper triangular matrices over an additively idempotent semiring S.
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Endomorphisms of upper triangular matrix rings

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2023
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Functional identities on upper triangular matrix algebras

Journal of Mathematical Sciences, 2000
Let \(\mathcal R\) be a ring. The mapping \(f\colon{\mathcal R}\to{\mathcal R}\) is commuting if \([f(x),x]=0\) for all \(x\in{\mathcal R}\). The study of commuting and centralizing mappings (when \([f(x),x]\) is in the centre of \(\mathcal R\)) was initiated by \textit{E. C. Posner} [Proc. Am. Math. Soc.
Beidar, K. I., Brešar, M., Chebotar, M. A.   +2 more
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Superinvolutions on upper-triangular matrix algebras

Journal of Pure and Applied Algebra, 2018
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Ioppolo A., Martino F.
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Functional identities in upper triangular matrix rings

Linear Algebra and its Applications, 2016
Let \(R\) be a subring of an associative ring \(Q\); one requires that \(R\) and \(Q\) share the same unit element. Denote \(\overline x_m=(x_1,\ldots,x_m)\in R^m\) and let \(\overline x_m^i\) be the ``vector'' \(\overline x_m\) without its \(i\)-th coordinate, analogously \(\overline x_m^{ij}\) stands for the same vector picking out its coordinates ...
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Construction of the inverse matrix to a block upper triangular matrix

2016 XV International Symposium Problems of Redundancy in Information and Control Systems (REDUNDANCY), 2016
A new analytical method of constructing the inverse matrix to the check matrix of the system of embedded inner codes for the generalized error-locating codes is proposed.
Sergei V. Fedorenko, Dmitri Shmelkin
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Derivations of upper triangular matrix semirings

Linear and Multilinear Algebra, 2020
In this paper, the author gives a description of the derivatives in UTMn(S), the semiring of upper triangular matrices over an additively idempotent semiring S.
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The image of polynomials on 2 × 2 upper triangular matrix algebras

Linear Algebra and its Applications, 2021
This deep and interesting paper provides a complete description of the image of polynomials with zero constant term on $2\times 2$ upper triangular matrix algebras over an algebraically closed field. The main result of the paper is the following: Theorem.
Wang, Yu, Zhou, Jia, Luo, Yingyu
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Automorphisms of upper triangular matrix rings

Archiv der Mathematik, 1987
Let A be a simple artinian ring with center F and suppose A is finite dimensional over F. The Skolem-Noether theorem says that every F- automorphism of A is inner. In this note we show that every F- automorphism of the ring of upper triangular matrices over such a ring is inner.
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Model theory of strictly upper triangular matrix rings

Journal of Symbolic Logic, 1980
Two questions on rings of strictly upper triangular matrices arising from B. Rose's work [5] are answered in this paper. An n × n matrix (αi, j) is strictly upper triangular if αi, j = 0 whenever i ≥ j. The ring of strictly upper triangular n × n matrices with entries from a field F will be denoted by Sn(F).
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