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Generalized Munn rings

open access: yesOpen Mathematics, 2022
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj   +1 more source

Isomorphism of generalized triangular matrix-rings and recovery of tiles

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative).
R. Khazal, S. Dăscălescu, L. Van Wyk
doaj   +1 more source

Environmental effects on the mechanical properties of E-glass and S-glass fiber epoxy composite ring specimens used in aircraft fuel pipes [PDF]

open access: yesINCAS Bulletin, 2021
An experimental investigation was performed in predicting the consequences of the exposure to seawater and moisture absorption on the mechanical properties of two different GFRE pipe rings made of E-glass and S-glass fiber and utilized in aircraft fuel ...
Sujith BOBBA, Z. LEMAN, B. HARISH BABU
doaj   +1 more source

Presentations of matrix rings [PDF]

open access: yesGroups – Complexity – Cryptology, 2010
We construct a short presentation of the ring of n x n matrices over Z with only 2 generators and 3 relations.
openaire   +3 more sources

Diagonal Matrix Reduction over Refinement Rings

open access: yesپژوهش‌های ریاضی, 2022
: A ring R is called a refinement ring if the monoid of finitely generated projective R- modules is refinement.  Let R be a commutative refinement ring and M, N, be two finitely generated projective R-nodules, then M~N  if and only if Mm ~Nm for all ...
Marjan Sheibani Abdolyousefi   +2 more
doaj  

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

open access: yes, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger   +56 more
core   +1 more source

Compressible matrix rings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1984
Let Z(K) denote the center of a ring K. A ring R is compressible if Z(eRe) = eZ(R) for each idempotent e of R. In response to a question of S. Berberian, G. Bergman has constructed a (non-commutative) integral domain, satisfying a polynomial identity, for which the 2×2 matrix ring over the domain is not compressible.
Armendariz, Efraim P., Park, Jae Keol
openaire   +2 more sources

Bi-Lie n-derivations on triangular rings

open access: yesAIMS Mathematics, 2023
The purpose of this article is to prove that every bi-Lie n-derivation of certain triangular rings is the sum of an inner biderivation, an extremal biderivation and an additive central mapping vanishing at $ (n-1)^{th} $-commutators for both components ...
Xinfeng Liang, Lingling Zhao
doaj   +1 more source

Commutators and Anti-Commutators of Idempotents in Rings

open access: yes, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +1 more source

Graphs from matrices - a survey

open access: yesAKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with identity. For a positive integer [Formula: see text] let [Formula: see text] be the set of all n × n matrices over R and [Formula: see text] be the set of all non-zero matrices of [Formula: see text] The zero-divisor ...
T. Tamizh Chelvam
doaj   +1 more source

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