On ordered monoid rings over a quasi-Baer ring

Y Hirano - 2001 - Taylor & Francis
A ring R is called (left principally) quasi-Baer if the left annihilator of every (principal) left
ideal of R is generated by an idempotent. We show that if R is (left principally) quasi-Baer …

On quasi-Baer rings

GF Birkenmeier, JY Kim, JK Park - Contemporary Mathematics, 2000 - books.google.com
Throughout this paper R denotes an associative ring with unity. Recall from [Ka2) that R is a
Baer ring if the right annihilator of every nonempty subset of R is generated, as a right ideal …

On skew quasi-Baer rings

M Habibi, A Moussavi, R Manaviyat - Communications in Algebra®, 2010 - Taylor & Francis
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 …

Group actions on quasi-Baer rings

HL Jin, J Doh, JK Park - Canadian Mathematical Bulletin, 2009 - cambridge.org
A ring R is called quasi-Baer if the right annihilator of every right ideal of R is generated by
an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings …

Ore extensions of quasi-Baer rings

CY Hong, NK Kim, Y Lee - Communications in Algebra, 2009 - Taylor & Francis
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 …

Generalized quasi-Baer rings

A Moussavi, H Haj Seyyed Javadi… - Communications in …, 2005 - Taylor & Francis
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 …

Quasi-Baer ring extensions and biregrular rings

GF Birkenmeier, JY Kim, JK Park - Bulletin of the Australian …, 2000 - cambridge.org
A ring R with unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal)
nonempty subset of R is generated (as a left ideal) by an idempotent. Armendariz has shown …

Weakly principally quasi-Baer rings

A Majidinya, A Moussavi - Journal of Algebra and Its Applications, 2016 - World Scientific
We say a ring R with unity is weakly principally quasi-Baer or simply (weakly pq-Baer) if the
right annihilator of a principal right ideal is right s-unital by right semicentral idempotents …

Baer and quasi-Baer properties of group rings

Z Yi, Y Zhou - Journal of the Australian Mathematical Society, 2007 - cambridge.org
A ring R is said to be a Baer (respectively, quasi-Baer) ring if the left annihilator of any
nonempty subset (respectively, any ideal) of R is generated by an idempotent. It is first …

Quasi-Baer rings with essential prime radicals

HL Jin, J Doh, JK Park - Communications in Algebra, 2006 - Taylor & Francis
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 …