Derivations, products of derivations, and commutativity in near-rings (Q2773010)

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scientific article; zbMATH DE number 1709129
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Derivations, products of derivations, and commutativity in near-rings
scientific article; zbMATH DE number 1709129

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    4 November 2002
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    3-prime near-rings
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    derivations
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    commutativity theorems
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    Derivations, products of derivations, and commutativity in near-rings (English)
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    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.
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