most citedOn Jordan Derivations of Triangular Algebras

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math.RA2007★ 2 cited

On Jordan Derivations of Triangular Algebras

Xuehan Cheng, Wu Jing

In this short note we prove that every Jordan derivation of triangular algebras is a derivation.

math.RA2007

Additivity of Maps on Triangular Algebras

Xuehan Cheng, Wu Jing

We prove that every multiplicative bijective map, Jordan bijective map, and Jordan triple bijective map from a triangular algebra onto any ring is automatically additive.

math.RA2007

Elementary Maps on Triangular Algebras

Xuehan Cheng, Wu Jing

In this note we prove that elementary maps on triangular algebras are automically additive.