A new homological dimension, called GCM-dimension, will be defined for any finitely generated module M over a local Noetherian ring R. GCM-dimension (short for Generalized Cohen-Macaulay dimension) characterizes Generalized Cohen-Macaulay rings in the sense that: a ring R is Generalized Cohen-Macaul
Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules
✍ Scribed by Nguyen Tu Cuong; Le Thanh Nhan
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 195 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
In this paper we study the structure of two classes of modules called pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules. We also give a characterization for these modules in term of the Cohen-Macaulayness and generalized Cohen-Macaulayness. Then we apply this result to prove a cohomological characterization for sequentially Cohen-Macaulay and sequentially generalized Cohen-Macaulay modules.
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