Abstract
The Cohen–Macaulay type of idealizations of maximal Cohen–Macaulay modules over Cohen–Macaulay local rings is closely explored. There are two extremal cases, one of which is related to the theory of Ulrich modules, and the other one is related to the theory of residually faithful modules and closed ideals, developed by Brennan and Vasconcelos.
Original language | English (US) |
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Pages (from-to) | 1269-1291 |
Number of pages | 23 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 71 |
Issue number | 4 |
DOIs | |
State | Published - 2019 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Cohen–Macaulay ring
- Gorenstein ring
- Maximal Cohen–Macaulay module
- Maximal embedding dimension
- Residually faithful module
- Ulrich module