摘要
设RP是一个 n模且PA具有有限平坦维数,其中A=End(RP).作者证明了在R的Grothendieck群和A的Grothendieck群之间存在一个阿贝尔群同态.特别地,当RP是quasi n tilting模时,这个同态是可裂的.
LetRP be a *nmodule such that PA has finite flat dimension, A=End( RP).The author proved that there is an abelian group homomorphism between the Grothendieck groups of R and A. In particular, the homomorphism is splitting if RP is a quasintiliting module.
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2003年第3期453-457,共5页
Journal of Sichuan University(Natural Science Edition)