Maps on Divisor Class Groups Induced by Ring Homomorphisms of Finite Flat Dimension
| dc.creator | Sather-Wagstaff, Sean | |
| dc.creator | Spiroff, Sandra | |
| dc.date | 2008-10-15 | |
| dc.date | 2009-05-26 | |
| dc.date.accessioned | 2026-07-07T13:17:41Z | |
| dc.date.available | 2026-07-07T13:17:41Z | |
| dc.description | Let f: A\to B be a ring homomorphism between Noetherian normal integral domains. We establish a general criterion for f to induce a homomorphism Cl(f): Cl(A)\to Cl(B) on divisor class groups. For instance, this criterion applies whenever f has finite flat dimension; this special case generalizes the more classical situations where f is flat or is surjective with kernel generated by an A-regular element. We extend some of Spiroff's work on the kernels of induced maps to this more general setting. | |
| dc.description | 17 pages, uses xypic; v4 contains minor changes; final version to appear in Journal of Commutative Algebra | |
| dc.identifier | https://arxiv.org/abs/0810.2810 | |
| dc.identifier | http://arxiv.org/abs/0810.2810 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231191 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C20 (Primary) 13B22, 13F40 (Secondary) | |
| dc.title | Maps on Divisor Class Groups Induced by Ring Homomorphisms of Finite Flat Dimension | |
| dc.type | text |