Geodesic
Closure rings
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 413-427.

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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.
Classification : 03G05, 06A15, 06E20, 16N20, 16W99
Keywords: closure ring; commuting idempotents; central idempotents; Baer ring 
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     title = {Closure rings},
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Gardner, B. J.; Stokes, Tim. Closure rings. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 3, pp. 413-427. http://geodesic.mathdoc.fr/item/CMUC_1999__40_3_a1/