Generic fiber rings of mixed power series/polynomial rings
| dc.creator | Heinzer, William | |
| dc.creator | Rotthaus, Christel | |
| dc.creator | Wiegand, Sylvia | |
| dc.date | 2005-07-16 | |
| dc.date.accessioned | 2026-07-07T05:21:45Z | |
| dc.date.available | 2026-07-07T05:21:45Z | |
| dc.description | Let K be a field, m and n positive integers, and X = {x_1,...,x_n}, and Y = {y_1,..., y_m} sets of independent variables over K. Let A be the polynomial ring K[X] localized at (X). We prove that every prime ideal P in A^ = K[[X]] that is maximal with respect to P\cap A = (0) has height n-1. We consider the mixed power series/polynomial rings B := K[[X]][Y]_{(X,Y)} and C := K[Y]_{(Y)}[[X]]. For each prime ideal P of B^ = C that is maximal with respect to either P \cap B = (0) or P \cap C = (0), we prove that P has height n+m-2. We also prove that each prime ideal P of K[[X, Y]] that is maximal with respect to P \cap K[[X]] = (0) is of height either m or n+m-2. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507326 | |
| dc.identifier | http://arxiv.org/abs/math/0507326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75803 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A05 13B25 13E05 13H05 13J05 | |
| dc.title | Generic fiber rings of mixed power series/polynomial rings | |
| dc.type | text |