Embedding of modules over Noetherian rings
Embedding of modules over Noetherian rings
复制标题
在诺特环上嵌入模块
DOI：
--
复制
发表时间：
2014-05
影响因子：
0.2
通讯作者：
黄宠辉
中科院分区：
文献类型：
--
作者：
黄宠辉
Let R and S be Noetherian rings. For any semidualizing bimodule RCS, we shows that the injective dimension of C as a right S-module is at most n if and only if every finitely generated R-module can be embedded into an R-module with C-flat dimension at most n. As an application, we prove that a commutative Noetherian ring R is Gorenstein with self-injective dimension at most n if and only if every finitely generated R-module can be embedded into a finitely generated R-module with projective dimension at most n. Some known results can be our corollaries.
