Title: Weak-Injective Modules of Weak Dimension at Most One
Abstract: Abstract We consider modules over integral domains R. A main purpose is to show that certain module properties assumed on R-modules of weak dimension ≤1 imply that these properties are shared by all modules in the category of R-modules. Also we prove several results involving modules of weak dimension ≤1. Key Words: Coherent domainsCopure-flat modulesFlat modulesMatlis domainsMatlis-Enochs-and Warfield-cotorsion modulesModules of weak dimension ≤1Pure-injectiveWeak-injective2000 Mathematics Subject Classification: Primary 13C11, 13G05Secondary 13C05 ACKNOWLEDGMENTS Portions of this article were completed while the author was visiting Tulane University in New Orleans. He expresses his thanks to the Department of Mathematics of Tulane University for the hospitality. He also thanks Professor Laszlo Fuchs for valuable comments on the article. Notes Communicated by R. Wiegand.
Publication Year: 2011
Publication Date: 2011-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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