Amalgamating commutative regular rings
William H. Cornish (1977)
Commentationes Mathematicae Universitatis Carolinae
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William H. Cornish (1977)
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.
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