Open Access
2008 A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
Yuwen Cheng, Feng-Kuo Huang
Taiwanese J. Math. 12(7): 1721-1731 (2008). DOI: 10.11650/twjm/1500405082

Abstract

Let $R$ be a ring with unity. It is shown that the formal power series ring $R[[x]]$ 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 generalized countable join.

Citation

Download Citation

Yuwen Cheng. Feng-Kuo Huang. "A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS." Taiwanese J. Math. 12 (7) 1721 - 1731, 2008. https://doi.org/10.11650/twjm/1500405082

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1169.16015
MathSciNet: MR2449659
Digital Object Identifier: 10.11650/twjm/1500405082

Subjects:
Primary: 16S36 , 16W60

Keywords: annihilator ideal , formal power series , principally quasi-Baer ring , semicentral idempotent

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 7 • 2008
Back to Top