Results 121 to 130 of about 2,933 (156)

PRINCIPALLY QUASI-BAER RINGS

Communications in Algebra, 2001
We say a ring with unity is right principally quasi-Baer (or simply, right p.q.-Baer) if the right annihilator of a principal right ideal is generated (as a right ideal) by an idempotent. This class of rings includes the biregular rings and is closed under direct products and Morita invariance.
Gary F Birkenmeier, Jae Keol Park
exaly   +2 more sources

Generalized Quasi-Baer Rings

Communications in Algebra, 2005
ABSTRACT We say a ring with identity is a generalized right (principally) quasi-Baer if for any (principal) right ideal I of R, the right annihilator of In is generated by an idempotent for some positive integer n, depending on I. The behavior of the generalized right (principally) quasi-Baer condition is investigated with respect to various ...
A Moussavi, E Hashemi
exaly   +2 more sources

On Skew Quasi-Baer Rings

Communications in Algebra, 2010
A ring R with an automorphism α and an α-derivation δ is called (α,δ)-quasi-Baer (resp., quasi-Baer) if the right annihilator of every (α,δ)-ideal (resp. ideal) of R is generated by an idempotent, as a right ideal. We show the left-right symmetry of (α, δ)-quasi Baer condition and prove that a ring R is (α, δ)-quasi Baer if and only if R[x; α, δ] is α ...
M. Habibi, A. Moussavi, R. Manaviyat
exaly   +2 more sources

Ore Extensions of Quasi-Baer Rings

Communications in Algebra, 2009
We first study the quasi-Baerness of R[x; σ, δ] over a quasi-Baer ring R when σ is an automorphism of R, obtaining an affirmative result. We next show that if R is a right principally quasi-Baer ring and σ is an automorphism of R with σ(e) = e for any left semicentral idempotent e ∈ R, then R[x; σ, δ] is right principally quasi-Baer. As a corollary, we
Chan Yong Hong, , Yang Lee
exaly   +2 more sources

A Characterization of δ-quasi-Baer Rings

Mathematical Journal of Okayama University, 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. In this note first we give a positive answer to the question posed in Han et al.
Hashemi, Ebrahim
openaire   +3 more sources

Baer and Quasi-Baer Differential Polynomial Rings

Communications in Algebra, 2008
A ring R with a derivation δ 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, as a right ideal. We show the left-right symmetry of δ-(quasi) Baer condition and prove that a ring R is δ-quasi Baer if and only if R[x;δ] is quasi Baer if and only if R[x;δ] is -quasi Baer
A R Nasr-Isfahani, A Moussavi
exaly   +2 more sources

Generalized quasi-Baer *-rings and Banach *-algebras

Communications in Algebra, 2020
We say that a *-ring R is a generalized quasi-Baer *-ring if for any ideal I of R, the right annihilator of In is generated, as a right ideal, by a projection, for some positive integer n depending...
M Ahmadi, Nasser Golestani, A Moussavi   +2 more
exaly   +2 more sources

Rings which are Baer or quasi-Baer modulo a radical

Communications in Algebra, 2021
Baer and quasi-Baer rings are important classes of algebraic objects, and their properties have roots in analysis.
exaly   +2 more sources

Quasi-Baer Rings with Essential Prime Radicals

Communications in Algebra, 2006
A ring R is called “quasi-Baer” if the right annihilator of every right ideal is generated, as a right ideal, by an idempotent. It can be seen that a quasi-Baer ring cannot be a right essential extension of a nilpotent right ideal. Birkenmeier asked: Does there exist a quasi-Baer ring which is a right essential extension of its prime radical? We answer
Jae Keol Park
exaly   +2 more sources

Principally Quasi-Baer Skew Power Series Rings

Communications in Algebra, 2010
Let α be an endomorphism of R which is not assumed to be surjective and R be α-compatible. It is shown that the skew power series ring R[[x; α]] is right p.q.-Baer if and only if the skew Laurent series ring R[[x, x −1; α]] is right p.q.-Baer if and only if R is right p.q.-Baer and every countable subset of right semicentral idempotents has a ...
R. Manaviyat, A. Moussavi, M. Habibi
exaly   +2 more sources