Ascent of module structures, vanishing of Ext, and extended modules
From MaRDI portal
Publication:841537
DOI10.1307/mmj/1220879412zbMath1174.13013arXiv0707.4197OpenAlexW2035691778MaRDI QIDQ841537
Sean K. Sather-Wagstaff, Roger Wiegand, Anders J. Frankild
Publication date: 17 September 2009
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.4197
Structure, classification theorems for modules and ideals in commutative rings (13C05) Étale and flat extensions; Henselization; Artin approximation (13B40) Completion of commutative rings (13B35)
Related Items
Transfer of Gorenstein dimensions along ring homomorphisms, Extended modules, Classifying thick subcategories of the stable category of Cohen-Macaulay modules, Ascent properties for pairs of modules, NAK for Ext and ascent of module structures, Relative tor functors with respect to a semidualizing module, Constructing big indecomposable modules
Cites Work
- Unnamed Item
- Unnamed Item
- Krull-Schmidt and cancellation over local rings
- Lifting homomorphisms of modules
- Baire's category theorem and prime avoidance in complete local rings
- Power series rings and projectivity
- On descent in dimension two and non-split Gorenstein modules
- Finite Gorenstein representation type implies simple singularity
- Local rings of finite Cohen-Macaulay type
- On the vanishing of \(\lim_{(i)}\)
- Separable algebras over commutative rings
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- Generic local structure of the morphisms in commutative algebra
- Reflexivity and Ring Homomorphisms of Finite Flat Dimension
- Detecting completeness from Ext-vanishing
- Solutions d'équations à coefficients dans un anneau hensélien
- Package deal theorems and splitting orders in dimension 1
- Characterizations of Regular Local Rings of Characteristic p
- Direct-sum decompositions over local rings
