[PDF][PDF] Extensions of left APP-rings

L Zhongkui, Q Husheng - Arabian Journal for Science and Engineering, 2008 - Citeseer
ABSTRACT A ring R is called a left APP-ring if the left annihilator lR (Ra) is pure as a left
ideal in R for any element a∈ R. This concept is a common generalization of left pq-Baer …

Rings with linearly ordered right annihilators

G Marks, R Mazurek - Israel Journal of Mathematics, 2016 - Springer
We introduce the class of lineal rings, defined by the property that the lattice of right
annihilators is linearly ordered. We obtain results on the structure of these rings, their ideals …

Ring Extensions with Finitely Many Non‐Artinian Intermediate Rings

N Jarboui, N Al-Kuleab, O Almallah - Journal of Mathematics, 2020 - Wiley Online Library
Ring Extensions with Finitely Many Non‐Artinian Intermediate Rings - Jarboui - 2020 - Journal
of Mathematics - Wiley Online Library Skip to Article Content Skip to Article Information Wiley …

Unitification of weakly pq-Baer*-rings

A Khairnar, BN Waphare - arXiv preprint arXiv:1612.01681, 2016 - arxiv.org
In this paper, we introduce a concept of weakly principally quasi-Baer*-rings in terms of
central cover. We prove that a*-rings is a principally quasi-Baer*-rings if and only if it is …

-Armendariz Rings and Modules

A Nejadzadeh, A Amini, B Amini, H Sharif - Vietnam Journal of …, 2020 - Springer
In this paper we introduce and study right Z Z-Armendariz rings. A ring R is said to be right Z
Z-Armendariz if f (x) g (x)= 0 implies that ab is a right singular element of R, where f (x) and g …

[PDF][PDF] Extended Armendariz Rings

N Agayev, S Halicioglu, A Harmanci - arXiv preprint arXiv:1312.4022, 2013 - arxiv.org
arXiv:1312.4022v1 [math.RA] 14 Dec 2013 Page 1 arXiv:1312.4022v1 [math.RA] 14 Dec
2013 EXTENDED ARMENDARIZ RINGS NAZIM AGAYEV, ABDULLAH HARMANCI, AND …

On dual Rickart modules and weak dual Rickart modules

DK Tütüncü, NO Ertas, R Tribak - Algebra and Discrete …, 2018 - admjournal.luguniv.edu.ua
Abstract Let\(R\) be a ring. A right\(R\)-module\(M\) is called\(\mathrm {d}\)-Rickart if for every
endomorphism\(\varphi\) of\(M\),\(\varphi (M)\) is a direct summand of\(M\) and it is …

On commutative reduced Baer rings

R Safakish - 2004 - sid.ir
It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if
and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected …

[PDF][PDF] On Armendariz Rings

C Bakkari, N Mahdou - 2009 - edream.ma
On Armendariz Rings Page 1 Beiträge zur Algebra und Geometrie Contributions to Algebra
and Geometry Volume 50 (2009), No. 2, 363-368. On Armendariz Rings Chahrazade Bakkari …

Baer and quasi-Baer annihilator conditions for nearrings and rings

GF Birkenmeier, N Kiliç, F Takil Mutlu… - Communications in …, 2023 - Taylor & Francis
A ring with unity is called Baer (quasi-Baer) if the left annihilator of each nonempty set (ideal)
is generated by an idempotent element. The origins of the class of Baer rings evolved as an …