拟Koszul-like模

Quasi-Koszul-like modules

主要讨论了诺特半完全代数上有限生成模的Koszul-like性质.受分次Koszul-like模的极小分次投射分解的启发,定义了拟Koszul-like模.讨论了拟Koszul-like模的Ext模的性质,把Koszul-like模的一些性质推广到拟Koszul-like模的情形.

It was discussed the Koszul-like property of finitely generated modules over a Noetherian semiperfect algebra.Motivated by the minimal graded projective resolution of a Koszul-like module,quasi-Koszul-like module was introduced.The Ext module of a quasi-Koszul-like module was studied in detail,which generalized some properties of Koszul-like modules to quasi-Koszul-like modules.