关于弱d-Koszul模的一个注记

摘要

研究了弱d-Koszul模范畴保持满同态核的条件,运用同调代数的相关知识,得到了一个充分条件:若对任意的i,k≥0,JkΩ i(K)=Ω i(K)∩JkΩ i(M),则弱d-Koszul模范畴在满同态的核下是封闭的.%It was studied the conditions for the category of weakly d-Koszul modules to be closed under kernels of epimorphisms.By using some related knowledge of homological algebra, a sufficient condition was obtained: supposed JkΩ i ( K ) =Ω' ( K ) ∩ JkΩι ( M ) for any i, k ≥0, then the category of weakly d-Koszul modules would be closed under kernels of epimorphisms.