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## Colloquium Mathematicum

2002 | 92 | 1 | 35-43

## Inertial subrings of a locally finite algebra

EN

### Abstrakty

EN
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 A 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. In this paper the question of existence of an inertial subring in a locally finite algebra is discussed.

35-43

wydano
2002

### Twórcy

autor
• Department of Mathematics, King Saud University, PO Box 2455, Riyadh 11451, Kingdom of Saudi Arabia
autor
• Department of Mathematics, King Saud University, PO Box 2455, Riyadh 11451, Kingdom of Saudi Arabia