电邮这篇文章 A Remark on Commutative Arithmetic Rings
- 作者: Golod E.1
-
隶属关系:
- Moscow State University
- 期: 卷 213, 编号 2 (2016)
- 页面: 143-144
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237144
- DOI: https://doi.org/10.1007/s10958-016-2706-4
- ID: 237144
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详细
It is proved that a commutative ring with identity R is arithmetic (i.e., the ideal lattice of R is distributive) if and only if for any finitely generated (or any finitely presented) R-module M and any ideal I of R the equality I +AnnM = Ann(M/IM) holds.
