Inertial subrings of a locally finite algebra

Yousef Alkhamees, and Surjeet Singh. "Inertial subrings of a locally finite algebra." Colloquium Mathematicae 92.1 (2002): 35-43. <http://eudml.org/doc/283731>.

@article{YousefAlkhamees2002,
abstract = {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.},
author = {Yousef Alkhamees, Surjeet Singh},
journal = {Colloquium Mathematicae},
keywords = {inertial subrings; locally finite algebras},
language = {eng},
number = {1},
pages = {35-43},
title = {Inertial subrings of a locally finite algebra},
url = {http://eudml.org/doc/283731},
volume = {92},
year = {2002},
}

TY - JOUR
AU - Yousef Alkhamees
AU - Surjeet Singh
TI - Inertial subrings of a locally finite algebra
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 1
SP - 35
EP - 43
AB - 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.
LA - eng
KW - inertial subrings; locally finite algebras
UR - http://eudml.org/doc/283731
ER -