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.
@article{119098,
author = {Barry J. Gardner and Tim Stokes},
title = {Closure rings},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {40},
year = {1999},
pages = {413-427},
zbl = {1014.16019},
mrnumber = {1732493},
language = {en},
url = {http://dml.mathdoc.fr/item/119098}
}
Gardner, Barry J.; Stokes, Tim. Closure rings. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 413-427. http://gdmltest.u-ga.fr/item/119098/
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