关于拟Koszul模范畴的核与余核

On the kernels and co-kernels of the category of quasi-Koszul modules

设R是诺特半完全代数,0——K——M——N——0是有限生成R-模范畴中的任意短正合列.主要研究了当K,M是拟Koszul模时,N何时是拟Koszul模以及M,N是拟Koszul模时,K何时是拟Koszul模,它完善了GREEN和MARTíNEZ-VILLA在1996年得到的结果.

Let 0——K——M——N——0 be a short exact sequence of finitely generated R-modules,where R is a Noetherian semiperfect algebra.We mainly discussed such conditions that N is quasi-Koszul provided that K,M are quasi-Koszul,and K is quasi-Koszul provided that M,N are quasi-Koszul,which perfect the results of Green and Martínez-Villa in 1996.