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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 2, Pages 102–105
(Mi basm102)
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This article is cited in 1 scientific paper (total in 1 paper)
The property of universality for some monoid algebras over non-commutative rings
Elena P. Cojuhari State University of Moldova, Chisinau, Moldova
Abstract:
We define on an arbitrary ring $A$ a family of mappings $(\sigma_{x,y})$ 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.
Keywords and phrases:
Derivations, monoid algebras, free algebras.
Received: 28.08.2006
Citation:
Elena P. Cojuhari, “The property of universality for some monoid algebras over non-commutative rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 2, 102–105
Linking options:
https://www.mathnet.ru/eng/basm102 https://www.mathnet.ru/eng/basm/y2006/i2/p102
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Abstract page: | 299 | Full-text PDF : | 64 | References: | 59 | First page: | 1 |
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