Turkish Journal of Mathematics
Article Title
Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension
DOI
10.3906/mat-1501-14
Abstract
We prove the result in the title. We study submodules $N$ of a module $M$ such that whenever $\frac{M}{N}$ satisfies the double infinite chain condition so does $M$.Moreover, we observe that an $\alpha $-atomic module, where $\alpha\geq 2$ is an ordinal number, satisfies the previous chain if and only if it satisfies the descending chain condition on nonfinitely generated submodules.
First Page
1570
Last Page
1578
Recommended Citation
DAVOUDIAN, MARYAM
(2017)
"Modules satisfying double chain condition on nonfinitely generated submodules have Krull dimension,"
Turkish Journal of Mathematics: Vol. 41:
No.
6, Article 16.
https://doi.org/10.3906/mat-1501-14
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss6/16
