Finiteness criteria in Gorenstein homological algebra
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- by Ioannis Emmanouil and Olympia Talelli PDF
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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.References
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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
- 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
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 6329-6351
- MSC (2010): Primary 16E10, 18G20; Secondary 20J05
- DOI: https://doi.org/10.1090/S0002-9947-2014-06007-8
- MathSciNet review: 3267012