X-Gorenstein投射复形

摘要

The notion of X-Gorenstein projective complex is introduced , and some homological characterizations of X-Gorenstein projective complexes are given . It is showed that the class of X-Gorenstein projective complexes is closed under direct sums and direct summands , and the class of X-Gorenstein projective complexes is projectively resolving .%引入X-Gorenstein投射复形,给出了X-Gorenstein投射复形的一些同调刻画.证明了X-Gorenstein投射复形的类关于直和项和直和封闭,并且X-Gorenstein投射复形的类是投射可解类.