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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Finiteness criteria in Gorenstein homological algebra


Authors: Ioannis Emmanouil and Olympia Talelli
Journal: Trans. Amer. Math. Soc. 366 (2014), 6329-6351
MSC (2010): Primary 16E10, 18G20; Secondary 20J05
Published electronically: July 2, 2014
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Abstract: In this paper, we examine the class of modules of finite Gorenstein projective dimension and study approximations of modules in that class by modules which are either Gorenstein projective or else have finite projective dimension. We also examine the relevance of complete cohomology in the study of modules of finite Gorenstein projective dimension and obtain, over group rings, such a finiteness criterion that involves only complete cohomology.


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Additional Information

Ioannis Emmanouil
Affiliation: Department of Mathematics, University of Athens, Athens 15784, Greece
Email: emmanoui@math.uoa.gr

Olympia Talelli
Affiliation: Department of Mathematics, University of Athens, Athens 15784, Greece
Email: otalelli@math.uoa.gr

DOI: http://dx.doi.org/10.1090/S0002-9947-2014-06007-8
PII: S 0002-9947(2014)06007-8
Received by editor(s): March 6, 2012
Received by editor(s) in revised form: October 14, 2012
Published electronically: July 2, 2014
Additional Notes: This research was supported by a GSRT/Greece excellence grant, cofunded by the ESF/EU and National Resources
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.