Inertial subrings of a locally finite algebra (Q2773355)

I.~S.~Cohen proved that any commutative local Noetherian ring \(R\) that is \(J(R)\)-adic complete admits a coefficient subring. Analogous to the concept of a coefficient subring is the concept of an inertial subring of an algebra over a commutative ring \(K\). In case \(K\) is a Hensel ring and the module \(A_K\) is finitely generated, under some additional conditions, as proved by Azumaya, \(A\) admits an inertial subring. The present authors discuss the existence of an inertial subring in a locally finite algebra.