摘要
本文研究了两个代数张量积的Grothendieck群和Whitehead群首先构作三个群同态,并证明:若R为增广A-代数,则存在的子群C使得,并存在的子群D使得.然后给出在群代数和包络代数方面的应用,最后考虑的增广代数的情形.
In this paper we consider the Grothendieck group and the Whitehead group . We prove that if R is an argmented A -algebra then there exists a subgroup C of such that, and a subgroup D of such that.Some application for group algebras and enveloping algebras are given.