A generalization of Boolean rings
Moore, H.G., Yaqub, Adil (1968)
Portugaliae mathematica
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Moore, H.G., Yaqub, Adil (1968)
Portugaliae mathematica
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Putcha, Mohan.S., Yaqub, Adil (1979)
International Journal of Mathematics and Mathematical Sciences
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Moore, H.G., Yaqub, Adil (1979)
Portugaliae mathematica
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Al-Ezeh, H. (1988)
International Journal of Mathematics and Mathematical Sciences
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Putcha, Mohan S., Yaqub, Adil (1981)
Portugaliae mathematica
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Sobhy Ghoneim, Marian Kechlibar, Tomáš Kepka (2005)
Commentationes Mathematicae Universitatis Carolinae
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Left selfdistributive rings (i.e., ) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied.
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.