关于DG-Ding内射复形的一个注记

A note on DG-Ding injective complexes

设G是一个复形。引入并研究了DG-Ding内射复形,证明了左凝聚环上复形G是DG-Ding内射的当且仅当G是正合的,对于任意整数n,Z_(n)(G)都是Ding内射模且对任意的DG-FP-内射复形J,复形同态f:J→G是零伦的。

Let G be a complex.DG-Ding injective complex is defined and studied.It is proved that G is a DG-Ding injective com-plex if and only if G is exact with that each Z_(n)(G)is a Ding injective module for any integer n and any homomorphism f:J→G is null homotopic for any DG-FP-injective complex J when R is a left coherent ring.