Abstract
The existence of Gorenstein projective precovers is one of the main open problems in Gorenstein homological algebra. We prove that the class of Gorenstein projective modules is a special precovering over any right coherent and left n-perfect ring. This is joint work with S. Estrada and S. Odabaşi, and more details can be found in Estrada et al. (Gorenstein flat and projective (pre)covers. Preprint [2]).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
E.E. Enochs, O.M.G. Jenda, Relative Homological Algebra (Walter de Gruyter, 2000)
S. Estrada, A. Lacob, S. Odabasi, Gorenstein flat and projective (pre)covers. Preprint
D. Murfet, S. Salarian, Totally acyclic complexes over Noetherian schemes. Adv. Math. 226(2), 1096–1133 (2011)
G. Yang, Z. Liu, L. Liang, On Gorenstein flat preenvelopes of complexes. Rend. Sem. Mat. Univ. Padova 129, 171–187 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Iacob, A. (2016). Gorenstein Projective Precovers. In: Herbera, D., Pitsch, W., Zarzuela, S. (eds) Extended Abstracts Spring 2015. Trends in Mathematics(), vol 5. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-45441-2_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-45441-2_15
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-45440-5
Online ISBN: 978-3-319-45441-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)