Acta Mathematica Hungarica
Volume/Issue:
Volume 98: Issue 3
Prime ideals of principally quasi-Baer rings
Authors:
G. Birkenmeier University of Louisiana at Lafayette Department of Mathematics Lafayette Louisiana 70504-1010 U. S. A

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J. Kim Kyung Hee University Department of Mathematics Suwon 449-701 South Korea

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, and
J. Park Busan National University Department of Mathematics Busan 609-735 South Korea

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Pages:
217–225
Online Publication Date:
03 Nov 2004
Publication Date:
01 Feb 2002
Article Category:
Research Article
DOI:
https://doi.org/10.1023/a:1022873808997
Keywords:
semicentral idempotent; principally quasi-Baer ring; Baer ring; quasi-Baer ring
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Abstract  

We extend a theorem of Kist for commutative PP rings to principally quasi-Baer rings for which every prime ideal contains a unique minimal prime ideal without using topological arguments. Also decompositions of quasi-Baer and principally quasi-Baer rings are investigated.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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