Semidualizing modules and the divisor class group
| dc.creator | Sather-Wagstaff, Sean | |
| dc.date | 2004-08-29 | |
| dc.date | 2006-12-19 | |
| dc.date.accessioned | 2026-07-07T07:35:59Z | |
| dc.date.available | 2026-07-07T07:35:59Z | |
| dc.description | Among the finitely generated modules over a Noetherian ring R, the semidualizing modules have been singled out due to their particularly nice duality properties. When R is a normal domain, we exhibit a natural inclusion of the set of isomorphism classes of semidualizing R-modules into the divisor class group of R. After a description of the basic properties of this inclusion, it is employed to investigate the structure of the set of isomorphism classes of semidualizing R-modules. In particular, this set is described completely for determinantal rings over normal domains. | |
| dc.description | 30 pages, uses XY-pic and amsart; final version for publication in Illinois J. Math. Griffith volume; extensively rewritten after referee's comments | |
| dc.identifier | https://arxiv.org/abs/math/0408399 | |
| dc.identifier | http://arxiv.org/abs/math/0408399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120281 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | Primary 13C05, 13C13, 13C20; Secondary 13C40, 13D05, 13D25 | |
| dc.title | Semidualizing modules and the divisor class group | |
| dc.type | text |