B.J. Gardner, Tim Stokes
Closure rings

Comment.Math.Univ.Carolinae 40,3 (1999) 413-427.

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.

Keywords: closure ring, commuting idempotents, central idempotents, Baer ring
AMS Subject Classification: 16W99