Results 221 to 230 of about 3,969,169 (246)

Maximal Semicommutative Subrings of Upper Triangular Matrix Rings

Communications in Algebra, 2008
A ring R is called “semicommutative” if any right annihilator over R is an ideal of R. We show that special subrings of upper triangular matrix rings over a reduced ring are maximal semicommutative. Consequently, new families of semicommutative rings are presented.
exaly   +2 more sources

Semicentral Idempotents of Upper Triangular Matrix Rings

Journal of Algebra and Its Applications
In this paper, we describe the necessary and sufficient conditions for upper triangular [Formula: see text] matrix over a ring to be left (right) semicentral idempotent. Circle compositions of left and right semicentral idempotent matrices ([Formula: see text]) are considered.
Dimitrinka Vladeva
exaly   +2 more sources

Integer-Valued Polynomials on Subsets of Upper Triangular Matrix Rings

Communications in Algebra
Ali Reza Naghipour
exaly   +2 more sources

Endomorphisms of upper triangular matrix rings

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Commuting maps on strictly upper triangular matrix rings

Operators and Matrices, 2023
Summary: Let \(R\) be either a ring with 1 or a semiprime ring not necessarily with 1 and let \(N_n(R)\) be the \(n \times n\) strictly upper triangular matrix ring over \(R\), where \(n\geqslant 3\) is an integer. We completely characterize additive maps \(f:N_n(R) \to N_n(R)\) satisfying \([f(x),x]=0\) for all \(x \in N_n (R)\). Our theorem naturally
Ko, Shu-Wen, Liu, Cheng-Kai
openaire   +1 more source

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 ...
openaire   +2 more sources

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).
openaire   +3 more sources

Functional identities in upper triangular matrix rings revisited

Linear and Multilinear Algebra, 2017
The aim of this paper is to give an improvement of a result on functional identities in upper triangular matrix rings obtained by Eremita, which presents a short proof of Eremita’s result.
openaire   +1 more source

The ℵ₁-categoricity of strictly upper triangular matrix rings over algebraically closed fields

Journal of Symbolic Logic, 1978
AbstractLet n ≥ 3. The following theorems are proved.Theorem. The theory of the class of strictly upper triangular n × n matrix rings over fields is finitely axiomatizable.Theorem. If R is a strictly upper triangular n × n matrix ring over a field K, then there is a recursive map σ from sentences in the language of rings with constants for K into ...
openaire   +3 more sources

On the Cayley graphs of upper triangular matrix rings

2018
The authors define a Cayley digraph on upper triangular matrices over a ring, and prove a number of properties about this very specific family of digraphs (diameter, planarity, girth, etc.). No real motivation is provided for the particular connection set or the vertex set they choose.
Moosavi, Nazila Vaez, Khashyarmanesh, Kazem, Mohammadikhah, Sadegh, Afkhami, Mojgan   +3 more
openaire   +1 more source