A general theory of Fountain-Gould quotient rings
Pham Ngoc Ánh, László Márki (1994)
Mathematica Slovaca
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Pham Ngoc Ánh, László Márki (1994)
Mathematica Slovaca
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Paul M. Cohn (1966)
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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.