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Jordan derivations of prime rings
Proceedings of the American Mathematical Society · 1957 · Vol. 8(6) · pp. 1104–1110
Abstract
1. Given any associative ring A one can construct from its operations and elements a new ring, the Jordan ring of A, by defining the product in this ring to be a o b=ab+ba for all a, bEA, where the product ab signifies the product of a and b in the associative ring A itself. If R is any ring, associative or otherwise, by a derivation of R we shall mean a function, ', mapping R into itself so that
Advanced Topics in AlgebraRings, Modules, and AlgebrasRing (chemistry)Associative propertyPrime (order theory)Reduced ringProduct (mathematics)Simple ringMathematicsPure mathematicsConstruct (python library)Principal ideal ring
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Jordan derivations on semiprime rings
Proceedings of the American Mathematical Society · 1988 · 256 citations
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