A NOTE ON EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS

Yuwen Cheng, Feng–Kuo Huang

Type: Article

Publication Date: 2008-10-01

Citations: 22

DOI: https://doi.org/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.

Locations

Taiwanese Journal of Mathematics - View - PDF

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+	Polynomial extensions of modules with the quasi-Baer property	2019	P. Amirzadeh Dana A. Moussavi
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Works Cited by This (23)

Action	Title	Year	Authors
+	On Polynomial Extensions of Principally Quasi-Baer Ring	2000	Gary F. Birkenmeier 김진용 박재철
+	Rings of operators	1956	Irving Kaplansky
+	Von Neumann regular rings	1979	K. R. Goodearl
+	Counterexamples on P.P.-rings	1998	Yang Lee Chan Huh
+	On annihilator ideals of a polynomial ring over a noncommutative ring	2002	Yasuyuki Hirano
+	A NOTE ON PRINCIPALLY QUASI-BAER RINGS	2002	Zhongkui Liu
+	Ore extensions of Baer and p.p.-rings	2000	Chan Yong Hong Nam Kyun Kim Tai Keun Kwak
+	Idempotents and completely semiprime ideals	1983	Gary F. Birkenmeir
+	Regular rings and Baer rings	1971	A. C. Mewborn
+	PRINCIPALLY QUASI-BAER RINGS	2001	Gary F. Birkenmeier Jin Yong Kim Jae Keol Park