A left -module is said to be stably free if it is stably isomorphic to a finitely generated free -module. In other words, is stably free if
for some positive integers .
Remark In the Grothendieck group of a ring with 1, two finitely generated projective module representatives and such that iff they are stably isomorphic to each other. In particular, is the zero element in iff it is stably free.
|Date of creation||2013-03-22 15:00:00|
|Last modified on||2013-03-22 15:00:00|
|Last modified by||CWoo (3771)|