Inertial subrings of a locally finite algebra (Q2773355)
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scientific article; zbMATH DE number 1709945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inertial subrings of a locally finite algebra |
scientific article; zbMATH DE number 1709945 |
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Inertial subrings of a locally finite algebra (English)
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21 February 2002
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inertial subrings
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locally finite algebras
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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.
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