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A Generalization of Boolean Rings

, 2007
A Boolean ring satisfies the identity x 2 = x which, of course, implies the identity x 2 y − xy 2 = 0. With this as motivation, we define a subBoolean ring to be a ring R which satisfies the condition that x 2 y −xy 2 is nilpotent for certain elements x,
A. Yaqub
semanticscholar   +1 more source

Derivations and commutativity of \sigma-prime rings

, 2006
Let R be a σ-prime ring with characteristic not two and d be a nonzero derivation of R commuting with σ. The purpose of this paper is to give suitable conditions under which R must be commutative. Mathematics Subject Classification: 16W25, 16W20, 16U80.
L. Oukhtite, S. Salhi
semanticscholar   +1 more source