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Communications in Algebra Volume 36, 2008 - Issue 2
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Original Articles

Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes

Septimiu Crivei Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, Cluj-Napoca, RomaniaCorrespondence[email protected]
Pages 529-545 | Received 21 Nov 2006, Published online: 07 Apr 2008
 
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Abstract

We introduce generalizations of extending modules and lifting modules relative to proper classes of short exact sequences of modules, and we characterize modules for which any direct sums of copies of them are such relative extending modules or relative lifting modules.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The author thanks Lidia Angeleri Hügel for helpful and inspiring discussions on the question if the class PAdd(ℳ) is covering.

The author acknowledges the support of the grants CEEX-ET 47/2006 and CNCSIS-AT 72/2006.

Notes

Communicated by J. L. Gómez Pardo.

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