与*~n模相关的Grothendieck群(英文)

Grothendieck Groups Associated with *~n-modules

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.

LetRP be a *nmodule such that PA 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 quasintiliting module.