On projective modules |
| |
| Authors: | Budh Nashier |
| |
| Affiliation: | (1) Department of Mathematics, Florida State University, 32306-3027 Tallahassee, FL, USA |
| |
| Abstract: | LetR be a commutative Noetherian ring with identity. The Hermite dimension ofR is defined to be the least integerr such that every stably freeR-module of rank greater thanr is free. In this paper we study ringsR obtained upon inversion of elements of a given ringA. We show that the Hermite dimension ofR does not depend on the Hermite dimension ofA, it depends on the Krull dimension ofA. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
