Email this article Arithmetical Rings and Quasi-Projective Ideals
- Authors: Tuganbaev A.A.1
-
Affiliations:
- National Research University “MPEI”
- Issue: Vol 213, No 2 (2016)
- Pages: 268-271
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237176
- DOI: https://doi.org/10.1007/s10958-016-2715-3
- ID: 237176
Cite item
Open Access
Access granted
Subscription Access
Abstract
It is proved that a commutative ring A is arithmetical if and only if every finitely generated ideal M of the ring A is a quasi-projective A-module and every endomorphism of this module can be extended to an endomorphism of the module AA. These results are proved with the use of some general results on invariant arithmetical rings.
About the authors
A. A. Tuganbaev
National Research University “MPEI”
Author for correspondence.
Email: tuganbaev@gmail.com
Russian Federation, Moscow
Supplementary files
