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