Results 111 to 120 of about 193 (129)

Group Actions on Quasi-Baer Rings

Canadian Mathematical Bulletin, 2009
AbstractA 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 and fixed rings under a finite group action on a semiprime ring and their applications to C*-algebras.
Hai Lan Jin, Jaekyung Doh, Jae Keol Park
openaire   +1 more source

Differential Extensions of Weakly Principally Quasi-Baer Rings

Acta Mathematica Vietnamica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paykan, Kamal, Moussavi, Ahmad
openaire   +2 more sources

A simple proof of a theorem on quasi-Baer rings

Archiv der Mathematik, 2003
The author presents a simple proof of a theorem by \textit{G. F. Birkenmeier, J. Y. Kim} and \textit{J. K. Park} [J. Pure Appl. Algebra 159, No. 1, 25-42 (2001; Zbl 0987.16018)], which states that if \(R[x,x^{-1}]\) or \(R[\![x,x^{-1}]\!]\) is quasi-Baer, then so is \(R\).
openaire   +1 more source

Principal quasi-Baerness of formal power series rings

Acta Mathematica Sinica, English Series, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhong Kui, Zhang, Wen Hui
openaire   +1 more source

A NOTE ON PRINCIPALLY QUASI-BAER RINGS

Communications in Algebra, 2002
ABSTRACT Let be a ring such that all left semicentral idempotents are central. It is shown that is right p.q.Baer if and only if is right p.q.Baer and any countable family of idempotents in has a generalized join in .
openaire   +1 more source

Quasi-Baer and biregular generalized matrix rings

Journal of Algebra and Its Applications, 2017
Generalized matrix rings are ubiquitous in algebra and have relevant applications to analysis. A ring is quasi-Baer (respectively, right p.q.-Baer) in case the right annihilator of any ideal (respectively, principal ideal) is generated by an idempotent. A ring is called biregular if every principal ideal is generated by a central idempotent.
Birkenmeier, Gary F., Davis, Donald D.
openaire   +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.
openaire   +2 more sources

ON ORDERED MONOID RINGS OVER A QUASI-BAER RING

Communications in Algebra, 2001
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 and G is an ordered monoid, then the monoid ring RG is again (left principally) quasi-Baer.
openaire   +1 more source

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
openaire   +1 more source

A generalization of (FI-)extending and (quasi) Baer rings

Asian-European Journal of Mathematics
A ring [Formula: see text] is called right essentially (quasi) Baer if the right annihilator of every (ideal) nonempty subset of [Formula: see text] is essential in a right ideal generated by an idempotent. This class of rings includes both (FI-) extending and (quasi) Baer rings.
Z. Maleki, Sh. Sahebi, K. Paykan
openaire   +1 more source