关于(m,n)内射模的一些结果(英文)

Some Results on (m,n)-Injective Modules

对于两个正整数m和n,一个右R模M称为(m,n)内射模,如果从n个生成元的Rm模的子模到M的每个R同态映射都可以延拓为从Rm到M的同态映射.刻画了交换环上(m,n)内射模的性质.

For two fixed positive integers m and n,a right R-module M is called (m,n)-injective if every right R-homomorphism from an n-generated submodule of R^m to M extends to one from R^m to M. In this paper,(m,n)-injective modules over commutative rings are characterized.