内射预解式

Injective Resolvents

研究了内射预解式的合冲模与内射分解式的上合冲模,并探讨了内射预解式与内射分解式之间的联系,证明了如果环R是Noether环且id(RR)≤n,则每个左R-模的内射维数小于等于n或者为∞.

In this paper, we study syzygies of injective resolvents and cosyzygies of injective resolutions, and probe the relationship ofinjective resolvents and injective resolutions, and then prove that if R is a Noetherian ring with id(_RR)≤n, then every left R-module has injective dimension at most n or ∞.