摘要
引入了强n-Gorenstein FC-投射模,给出了强n-Gorenstein FC-投射模的一些性质,证明了对任意模M和非负整数n,R-模M的Gorenstein FC-投射维数不超过n当且仅当M是强n-Gorenstein FC-投射模的直和因子时。
In this paper, strongly n-Gorenstein FC-projective modules are introduced, some properties of them are presented. For arbitrary module M and nonnegative integral number n, the Gorenstein FC-projective dimensions of M are not larger than n if and only if M is direct summand of a strongly n-Gorenstein FC-Projective module.
出处
《理论数学》
2020年第10期974-979,共6页
Pure Mathematics
