Displaying similar documents to “On the mapping x y → ( x y ) n in an associative ring.”

Closure rings

Barry J. Gardner, Tim Stokes (1999)

Commentationes Mathematicae Universitatis Carolinae

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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.