|
|||||
|
|
|
|
|
|
|
|
|
Classifying resolving
subcategories
William Sanders |
|
Vol. 286 (2017), No. 2, 401–438
|
Abstract |
|
We use the theory of Auslander–Buchweitz approximations to classify certain resolving subcategories containing a semidualizing or a dualizing module. In particular, we show that if the ring has a dualizing module, then the resolving subcategories containing maximal Cohen–Macaulay modules are in bijection with grade consistent functions and thus are the precisely the dominant resolving subcategories. |
Keywords
resolving subcategory, homological dimension, commutative
rings
|
Mathematical Subject Classification 2010
Primary: 13D05, 13C60
Secondary: 18G20, 13C14
|
Milestones
Received: 25 February 2015
Revised: 9 June 2016
Accepted: 11 June 2016
Published: 15 January 2017
|
Authors |
| William Sanders | |
| Department of Mathematical
Sciences Norwegian University of Science and Technology 7491 Trondheim Norway |
|
|
