Results 21 to 30 of about 3,969,169 (246)

Jordan homomorphisms of upper triangular matrix rings over a prime ring

Linear Algebra and its Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Yiqiu, Wang, Yu
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A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

Journal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

On p.p.-rings which are reduced

International Journal of Mathematics and Mathematical Sciences, 2006
Denote the 2×2 upper triangular matrix rings over ℤ and ℤp by UTM2(ℤ) and UTM2(ℤp), respectively. We prove that if a ring R is a p.p.-ring, then R is reduced if and only if R does not contain any subrings isomorphic to UTM2(ℤ) or UTM2(ℤp).
Xiaojiang Guo, K. P. Shum
doaj   +1 more source

Decomposition of Automorphisms of Certain Solvable Subalgebra of Symplectic Lie Algebra over Commutative Rings

International Journal of Mathematics and Mathematical Sciences, 2012
Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR  =  {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2,  over  R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
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A STUDY ON TRI REVERSIBLE RINGS [PDF]

Journal of Algebraic Systems
This article embodies a ring theoretic property which, preserves the reversibility of elements at non-zero tripotents. A ring R is defined as quasi tri reversible if any non-zero tripotent element ab of R implies ba is also a tripotent element in R for a,
Hussain Mohammed Imdadul Hoque, Helen Saikia   +1 more
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On biderivations of upper triangular matrix rings

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An inverse matrix of an upper triangular matrix can be lower triangular [PDF]

, 2002
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ...
Hołubowski, Waldemar
core   +1 more source

Automorphism groups of generalized triangular matrix rings [PDF]

, 2011
We call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠0) generalized triangular matrix ring RM0S, for some rings R and S and some R-S-bimodule RMS.
P.N. Ánh, L. van Wyk, Fošner, Ajda, Wei, Feng, Liang, Xinfeng   +4 more
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Zero-Divisor Graphs of $2 \times 2$ Upper Triangular Matrix Rings Over $Z_n$ [PDF]

Missouri Journal of Mathematical Sciences, 2014
Istvan Beck introduced the zero-divisor graph in 1988. We explore the directed and undirected zero-divisor graphs of the rings of $2 \times 2$ upper triangular matrices mod $n$, denoted by $\Gamma(T_2(n))$ and $\tilde{\Gamma}(T_2(n))$, respectively. For prime $p$, we completely characterize the graph $\Gamma(T_2(p))$ by partitioning $T_2(p)$, and prove
Fenstermacher, Todd, Gegner, Ethan
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Semicommutative and Armendariz Matrix Rings

Axioms
In this paper, we construct some interesting high-order upper triangular matrix rings, which have semicommutative and Armendariz properties. Also, the relatively maximality of these rings as subrings of certain matrix rings is considered.
Gang Yang
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