Gorenstein Projective Resolvents

Authors

• Edgar E. Enochs, University of KentuckyFollow
• Sergio Estrada, Universidad de MurciaFollow
• Alina Iacob, Georgia Southern UniversityFollow
• Sinem Odabasi, Georgia Southern University

Document Type

Article

Publication Date

2016

Publication Title

Communications in Algebra

DOI

10.1080/00927872.2015.1065847

ISSN

1532-4125

Abstract

Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective preenvelopes for finite R-modules is known (it was proved using duality arguments). In the present article, we compute an explicit Gorenstein projective preenvelope and a right Gorenstein projective resolution of a finite R-module. In light of this knowledge, we consider left derived functors Ext_i(−, −), Ext_i(−, −), and Gext_i(−, −). We prove a balance result for the Tate derived functor Ext_i(−, −). Finally, we get an exact sequence connecting these derived functors.

Recommended Citation

Enochs, Edgar E., Sergio Estrada, Alina Iacob, Sinem Odabasi. 2016. "Gorenstein Projective Resolvents." Communications in Algebra, 44 (9): 3989-4000. doi: 10.1080/00927872.2015.1065847
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/346

Copyright

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