Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on February 21, 2008
Journal of the London Mathematical Society 2008 77(2):481-502; doi:10.1112/jlms/jdm124
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
77/2/481    most recent
jdm124v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Sather-Wagstaff, S.
Right arrow Articles by White, D.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2008 London Mathematical Society

Stability of Gorenstein categories

Sean Sather-Wagstaff

Department of Mathematical Sciences
Kent State University
Mathematics and Computer Science
Building
Summit Street
Kent OH 44242
USA
Current address:
Department of Mathematics
300 Minard Hall
North Dakota State University
Fargo, ND 58105-5075
USA
http://math.ndsu.nodak.edu/faculty/ssatherw/

Tirdad Sharif

School of Mathematics
Institute for Studies in Theoretical Physics
and Mathematics
PO Box 19395-5746
Tehran
Iran
sharif@ipm.ir
http://www.ipm.ac.ir/IPM/people/personalinfo.jsp?PeopleCode=IP0400060

Diana White

Department of Mathematics
University of Nebraska
203 Avery Hall
Lincoln, NE 68588-0130
USA
Current address:
Department of Mathematics
LeConte College
1523 Greene Street
University of South Carolina
Columbia, SC 29208
USA
dwhite@math.sc.edu
http://www.math.sc.edu~dwhite/

We show that an iteration of the procedure used to define the Gorenstein projective modules over a commutative ring R yields exactly the Gorenstein projective modules. Specifically, given an exact sequence of Gorenstein projective R-modules


Formula

such that the complexes HomR(G, H) and HomR(H, G) are exact for each Gorenstein projective R-module H, the module Coker(Formula ) is Gorenstein projective. The proof of this result hinges upon our analysis of Gorenstein subcategories of abelian categories.

2000 Mathematics Subject Classification 13C05, 13D02, 13D07, 18G10, 18G15.

Tirdad Sharif is supported by a grant from IPM\ (No. 83130311).

Received March 21, 2007; published online February 21, 2008.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.