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An abstract approach to the study of derivation mappings on non-commutative rings. (English) Zbl 1176.16029

Summary: An abstract approach to the study of derivation mappings on non-commutative rings is undertaken. These mappings are indexed by elements of a multiplicative monoid. We describe completely the derivation mappings in the case of a monoid generated by two elements.

MSC:

16W25 Derivations, actions of Lie algebras
16S36 Ordinary and skew polynomial rings and semigroup rings
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