Beyond totally reflexive modules and back: a survey on Gorenstein dimensions
LW Christensen, HB Foxby, H Holm - Commutative Algebra: Noetherian …, 2011 - Springer
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …
homological dimensions for modules over commutative rings. The account includes the …
[HTML][HTML] Transfer of Gorenstein dimensions along ring homomorphisms
LW Christensen, S Sather-Wagstaff - Journal of Pure and Applied Algebra, 2010 - Elsevier
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings
is to find resolution-free characterizations of the modules for which these invariants are finite …
is to find resolution-free characterizations of the modules for which these invariants are finite …
Gorenstein injectivity of the section functor
R Sazeedeh - 2010 - degruyter.com
Let R be a commutative Noetherian ring of Krull dimension d admitting a dualizing complex
D and let 𝔞 be any ideal of R. We prove that is Gorenstein injective for any Gorenstein …
D and let 𝔞 be any ideal of R. We prove that is Gorenstein injective for any Gorenstein …
Transfer of Gorenstein dimensions of unbounded complexes along ring homomorphisms
L Zhongkui, R Wei - Communications in Algebra, 2014 - Taylor & Francis
Let R→ S be a ring homomorphism. We consider the relationships of the Gorenstein
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes R Hom …
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes R Hom …
Homological flat dimensions
For finitely generated module $ M $ over a local ring $ R $, the conventional notions of
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …
Gorenstein modules and Auslander categories
D Wu, Y Wang - Communications in Algebra, 2016 - Taylor & Francis
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