Semilocal Group Rings in Characteristic Zero
Semilocal Group Rings in Characteristic Zero
It is shown that if F is a field of characteristic zero and G is a group such that the group ring F[G] is semilocal then G must be finite.A generalization to group rings over rings is given.A ring R is semilocal if R/J(R) is artinian, where I(R) denotes the …