The property of universality for some monoid algebras over non-commutative rings
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2024-04-11 15:05
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COJUHARI, Elena. The property of universality for some monoid algebras over non-commutative rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 102-105. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

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

Pag. 102-105

Cojuhari Elena
 
Moldova State University
 
 
Disponibil în IBN: 18 decembrie 2015


Rezumat

We define on an arbitrary ring A a family of mappings (_ x,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.

Cuvinte-cheie
Derivations, monoid algebras, free algebras.