A Generalization of Boolean Rings
نویسنده
چکیده
A Boolean ring satisfies the identity x2 = x which, of course, implies the identity x2y − xy2 = 0. With this as motivation, we define a subBoolean ring to be a ring R which satisfies the condition that x2y−xy2 is nilpotent for certain elements x, y of R. We consider some conditions which imply that the subBoolean ring R is commutative or has a nil commutator ideal. Mathematics Subject Classification: 16U80, 16D70
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