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Title: Products of small modules (English)
Author: Kálnai, Peter
Author: Žemlička, Jan
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 55
Issue: 1
Year: 2014
Pages: 9-16
Summary lang: English
Category: math
Summary: Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal. (English)
Keyword: small module
Keyword: self-injectivity
Keyword: von Neumann regular ring
Keyword: purely infinite rings
Keyword: direct sums
Keyword: direct products
Keyword: strongly inaccessible cardinals
MSC: 03E35
MSC: 16B70
MSC: 16D10
MSC: 16D50
MSC: 16D70
MSC: 16D80
MSC: 16E50
MSC: 16S50
idZBL: Zbl 06383781
idMR: MR3160822
Date available: 2014-01-17T09:31:11Z
Last updated: 2016-04-04
Stable URL:
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