Decomposition of finitely generated projective modules over Bezout ring
It is shown that a commutative Bezout ring $R$ of stable range 2 isan elementary divisor ring if and only if for each ideal $I$ everyfinitely generated projective $R/I$-module is a direct sum ofprincipal ideals generated by idempotents.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2013-10-01
|
| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2013/40_1/104-107.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Be the first to leave a comment!