Document Type
Article
Publication Date
2-2017
Publication Title
Mediterranean Journal of Mathematics
DOI
10.1007/s00009-016-0822-5
ISSN
1660-5454
Abstract
We prove that the class of Gorenstein projective modules is special precovering over any left GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every Gorenstein flat module has finite Gorenstein projective dimension. This class of rings includes (strictly) Gorenstein rings, commutative noetherian rings of finite Krull dimension, as well as right coherent and left n-perfect rings. In Sect. 4 we give examples of left GF-closed rings that have the desired properties (every Gorenstein projective module is Gorenstein flat and every Gorenstein flat has finite Gorenstein projective dimension) and that are not right coherent.
Recommended Citation
Estrada, Sergio, Alina Iacob, Katelyn A. Coggins.
2017.
"Gorenstein Projective Precovers."
Mediterranean Journal of Mathematics, 14 (1): 33.
doi: 10.1007/s00009-016-0822-5
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/476
Comments
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