Results 91 to 93 of about 263 (93)

Subperiodic rings with commutative Jacobson radical

, 2014
Let R be a ring with nilpotents N and center C and with Jacobson radical J . Let P be the set of potent elements x for which xn = x, n > 1, n = n(x, y) is an integer. R is called subperiodic if R\(J∪C) ⊆ N+P.
A. Yaqub
semanticscholar   +1 more source

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