Results 31 to 40 of about 93 (57)

Strongly Rickart objects in abelian categories

open access: yes, 2018
We introduce and study (dual) strongly relative Rickart objects in abelian categories. We prove general properties, we analyze the behaviour with respect to (co)products, and we study the transfer via functors.
Crivei, Septimiu, Olteanu, Gabriela
core   +1 more source

On principally quasi-Baer skew power series rings [PDF]

open access: yes, 2015
Let [Formula: see text] be a monomorphism of a ring [Formula: see text] which is not assumed to be surjective. It is shown that, for an [Formula: see text]-weakly rigid [Formula: see text], the skew power series ring [Formula: see text] is right p.q ...
A. Moussavi
core   +1 more source

Strongly Rickart Rings [PDF]

open access: yes, 2014
Let R be a ring with identity. In this paper we introduce a strongly Rickart ring as a stronger concept of a Rickart ring. A ring R is said to be strongly Rickart ring if the right annihilators of each single element in R is generated by a left ...
Al-Saadi, Saad Abdulkadhim   +1 more
core   +1 more source

Reflexivity of Rings via Nilpotent Elements

open access: yes, 2018
An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a\in$ nil$(R)$, $b\in R$, being $aRb \subseteq I$ implies $bRa \subseteq I$ where nil$(R)$ is the set of all nilpotent elements of $R$.
Harmanci, Abdullah   +3 more
core  

Про кільця з слабкими простими центрами [PDF]

open access: yes, 2014
We introduce a class of rings obtained as a generalization of rings with prime centers. A ring R is called weakly prime center (or simply WPC) if ab∈Z(R) (R) implies that aRb is an ideal of R where Z(R) stands for the center of R.
Junchao Wei
core   +1 more source

Ring Strongly k-Engel π-Reguler [PDF]

open access: yes, 2018
Ring -regular merupakan salah satu pengembangan konsep pada struktur aljabar. Suatu elemen disebut strongly -regular jika terdapat suatu bilangan bulat positif dan elemen sedemikian sehingga .
Nuri W, Afida Laili
core  

Semicentral idempotents in the multiplication ring of a centrally closed prime ring

open access: yes, 1890
Let R be a ring and letM(R) stand for the multiplication ring of R. An idempotent E in M(R) is called left semicentral if its range E(R) is a right ideal of R. In the case that R is prime and centrally closed we give a description of the left semicentral
Cabello Piñar, Juan Carlos   +2 more
core  

Semicentral idempotents in the multiplication ring of a centrally closed prime ring

open access: yes
Let R be a ring and let M(R) stand for the multiplication ring of R. An idempotent E in M(R) is called left semicentral if its range E(R) is a right ideal of R.
Cabello, J.C., Cabrera, M., Nieto, E.
core  

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