Results 1 to 10 of about 93 (57)
AxiomsThe explicit forms of idempotent and semicentral idempotent triangular matrices over an additively idempotent semiring are obtained. We define a diamond composition of idempotents and give a representation of an idempotent n×n matrix as an (n−1)th degree
Dimitrinka Vladeva
exaly +5 more sources
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
exaly +5 more sources
SEMICENTRAL IDEMPOTENTS IN A RING [PDF]
Journal of the Korean Mathematical Society, 2014 Let R be a ring with identity 1, I(R) be the set of all nonunit idempotents in R and Sl(R) (resp. Sr(R)) be the set of all left (resp. right) semicentral idempotents in R. In this paper, the following are investigated: (1) e ∈ Sl(R) (resp. e ∈ Sr(R)) if and only if re = ere (resp.
Juncheol Han, Yang Lee, Sangwon Park
exaly +4 more sources
A note on semicentral idempotents [PDF]
Communications in Algebra, 2016 In this note we answer the question raised by Han et al. in J. Korean Math. Soc (2014) whether an idempotent isomorphic to a semicentral idempotent is itself semicentral. We show that rings with this property are precisely the Dedekind-finite rings. An application to module theory is given.
Lomp, Christian, Matczuk, Jerzy
openaire +3 more sources
A NOTE ON SEMICENTRAL IDEMPOTENTS AND SEMICOMMUTATIVE NEAR-RINGS
Far East Journal of Mathematical Sciences, 2017 Yong Uk Cho
exaly +3 more sources
Algebras Generated by Semicentral Idempotents
Acta Mathematica Hungarica, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, G. F. +3 more
openaire +2 more sources
On semicentral idempotents in near-rings [PDF]
Applied Mathematical Sciences, 2015 Yong Uk Cho
openaire +2 more sources
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
, 2010 Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Xiaoyan, Yang, Zhongkui, Liu
core +1 more source
A Characterization of δ-quasi-Baer Rings [PDF]
, 2007 Let δ be a derivation on R. A ring R is called δ-quasi-Baer (resp. quasi-Baer) if the right annihilator of every δ-ideal (resp. ideal) of R is generated by an idempotent of R.
Hashemi, Ebrahim
core +1 more source
Semicommutativity of rings by the way of idempotents [PDF]
, 2019 In this paper, we focus on the semicommutative property of rings via idempotent elements. In this direction, we introduce a class of rings, so-called right e-semicommutative rings.
Harmancı, Abdullah +2 more
core +1 more source