Gardner, Barry J., and Stokes, Tim. "Closure rings." Commentationes Mathematicae Universitatis Carolinae 40.3 (1999): 413-427. <http://eudml.org/doc/248422>.
@article{Gardner1999,
abstract = {We consider rings equipped with a closure operation defined in terms of a collection of commuting idempotents, generalising the idea of a topological closure operation defined on a ring of sets. We establish the basic properties of such rings, consider examples and construction methods, and then concentrate on rings which have a closure operation defined in terms of their lattice of central idempotents.},
author = {Gardner, Barry J., Stokes, Tim},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {closure ring; commuting idempotents; central idempotents; Baer ring; closure rings; commuting idempotents; central idempotents; Baer rings; normal filters; closed ideals; closure operations},
language = {eng},
number = {3},
pages = {413-427},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Closure rings},
url = {http://eudml.org/doc/248422},
volume = {40},
year = {1999},
}
TY - JOUR
AU - Gardner, Barry J.
AU - Stokes, Tim
TI - Closure rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 3
SP - 413
EP - 427
AB - We consider rings equipped with a closure operation defined in terms of a collection of commuting idempotents, generalising the idea of a topological closure operation defined on a ring of sets. We establish the basic properties of such rings, consider examples and construction methods, and then concentrate on rings which have a closure operation defined in terms of their lattice of central idempotents.
LA - eng
KW - closure ring; commuting idempotents; central idempotents; Baer ring; closure rings; commuting idempotents; central idempotents; Baer rings; normal filters; closed ideals; closure operations
UR - http://eudml.org/doc/248422
ER -
