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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (51), 2006/

The property of universality for some monoid algebras over non-commutative rings.

Authors: Cojuhari Elena

Abstract

We define on an arbitrary ring A a family of mappings (σx, y) subscripted with elements of a multiplicative monoid G. The assigned properties allow to call these mappings derivations of the ring A. A monoid algebra of G over A is constructed explicitly, and the universality property of it is shown.

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