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 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-3,
author = {Yousef Alkhamees and Surjeet Singh},
title = {Inertial subrings of a locally finite algebra},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {35-43},
zbl = {0998.16011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-3}
}
Yousef Alkhamees; Surjeet Singh. Inertial subrings of a locally finite algebra. Colloquium Mathematicae, Tome 91 (2002) pp. 35-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-3/