Arithmetical Rings and Quasi-Projective Ideals
- Авторлар: Tuganbaev A.1
-
Мекемелер:
- National Research University “MPEI”
- Шығарылым: Том 213, № 2 (2016)
- Беттер: 268-271
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237176
- DOI: https://doi.org/10.1007/s10958-016-2715-3
- ID: 237176
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Tuganbaev
National Research University “MPEI”
Хат алмасуға жауапты Автор.
Email: tuganbaev@gmail.com
Ресей, Moscow