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 …
The Frobenius functor and injective modules
T Marley - Proceedings of the American Mathematical Society, 2014 - ams.org
We investigate commutative Noetherian rings of prime characteristic such that the Frobenius
functor applied to any injective module is again injective. We characterize the class of one …
functor applied to any injective module is again injective. We characterize the class of one …
G-dimension over local homomorphisms with respect to a semi-dualizing complex
D Wu - Czechoslovak Mathematical Journal, 2014 - Springer
We study the G-dimension over local ring homomorphisms with respect to a semi-dualizing
complex. Some results that track the behavior of Gorenstein properties over local ring …
complex. Some results that track the behavior of Gorenstein properties over local ring …
Interplay between homological dimensions of a complex and its right derived section
C Jalali - arXiv preprint arXiv:1404.3982, 2014 - arxiv.org
Let $(R,\mathfrak {m}) $ be a commutative Noetherian local ring, $\mathfrak {a} $ be a
proper ideal of $ R $ and $ M $ be an $ R $-complex in $\mathrm {D}(R) $. We prove that if …
proper ideal of $ R $ and $ M $ be an $ R $-complex in $\mathrm {D}(R) $. We prove that if …
[PDF][PDF] On (Gorenstein) injective and (Gorenstein) flat dimensions of right derived section functor of complexes
C JALALI - arXiv preprint arXiv:1404.3982, 2014 - Citeseer
arXiv:1404.3982v1 [math.AC] 15 Apr 2014 Page 1 arXiv:1404.3982v1 [math.AC] 15 Apr
2014 ON (GORENSTEIN) INJECTIVE AND (GORENSTEIN) FLAT DIMENSIONS OF RIGHT …
2014 ON (GORENSTEIN) INJECTIVE AND (GORENSTEIN) FLAT DIMENSIONS OF RIGHT …
[PDF][PDF] RESEARCH STATEMENT SEAN SATHER-WAGSTAFF
JW Gibbs - ndsu.edu
In the oldest sense, arithmetic is the study of operations on integers: addition, subtraction,
multiplication, and (when defined) division. A somewhat more modern perspective is that …
multiplication, and (when defined) division. A somewhat more modern perspective is that …