Displaying similar documents to “Commutativity of prime Γ -near rings with Γ - ( σ , τ ) -derivation.”

Wilson’s theorem

Chandan Singh Dalawat (2009)

Journal de Théorie des Nombres de Bordeaux

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We show how K. Hensel could have extended Wilson’s theorem from Z to the ring of integers 𝔬 in a number field, to find the product of all invertible elements of a finite quotient of 𝔬 .

Semiprime rings with nilpotent Lie ring of inner derivations

Kamil Kular (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions