Derivations, products of derivations, and commutativity in near-rings
Derivations, products of derivations, and commutativity in near-rings
The authors deal mainly with zero-symmetric 3-prime near-rings and derivations on them. They study different types of conditions for derivations that imply, for example, that the supporting group of the near-ring is Abelian or the near-ring is commutative; other types of conditions, involving pair of derivations, force one of them to be zero. The last section presents results on higher derivations.
- Ege University Turkey
Near-rings, 3-prime near-rings, derivations, commutativity, Generalizations of commutativity (associative rings and algebras), Derivations, actions of Lie algebras, commutativity theorems, Center, normalizer (invariant elements) (associative rings and algebras)
Near-rings, 3-prime near-rings, derivations, commutativity, Generalizations of commutativity (associative rings and algebras), Derivations, actions of Lie algebras, commutativity theorems, Center, normalizer (invariant elements) (associative rings and algebras)
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