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Idempotent Triangular Matrices over Additively Idempotent Semirings: Decompositions into Products of Semicentral Idempotents

Axioms
The 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
doaj   +4 more sources

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The 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
doaj   +3 more sources

WEAKLY BAER RINGS [PDF]

Journal of Algebraic Systems, 2023
We say a ring R with unity is left weakly Baer if the left annihilatorof any nonempty subset of R is right s-unital by right semicentral idempotents,which implies that R modulo the left annihilator of any nonempty subset isflat.
S. Mehralinejadian, A. Moussavi, Sh. Sahebi   +2 more
doaj   +1 more source

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 Weak e-Reflexive Rings and Their Nil Extensions

Axioms
In this work, we establish the relationships between weak e-reversibility and weak e-semicommutativity, introducing weak e-reflexive rings as a natural generalization of reflexive and e-reflexive rings.
Awn Alqahtani, Eltiyeb Ali, Khalid I. A. Ahmed   +2 more
doaj   +1 more source

Rectangular groupoids and related structures.

Discrete Math, 2013
Boykett T.
europepmc   +1 more source

A note on semicentral idempotents

Communications in Algebra, 2017
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Jerzy Matczuk, Christian Edgar Lomp
exaly   +2 more sources

SEMICENTRAL IDEMPOTENTS IN A RING

Journal of the Korean Mathematical Society, 2014
Sangwon Park, Juncheol Han
exaly  

An introduction to q-central idempotents and q-abelian rings

Communications in Algebra, 2023
exaly  

Algebras Generated by Semicentral Idempotents

Acta Mathematica Hungarica, 2002
Gary F Birkenmeier, Jae Keol Park, Jin Yong Kim   +2 more
exaly