Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques   EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Académie Serbe des Sciences et des Arts, Beograd

Vol. CXXXI, No. 30, pp. 77-84 (2005)

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On derivations over rings of triangular matrices

A. L. Barrenechea and C. C. Pena

UNCentro-FCExactas-NuCoMPA-Dpto. de Matemáticas, Tandil, Pcia. de Bs. As., Argentina, ccpenia@exa.unicen.edu.ar / analucia@exa.unicen.edu.ar

Abstract: The purpose of this article is to describe the structure of derivations over general rings of upper or lower triangular matrices. Some examples are developed, together with a simple formula that gives the dimension of the module of derivations on the center of the underlying ring.

Keywords: Derivations. Inner derivations. Lie brackets. General semigroup ring of a group on a ring. Central simple $k$ - algebras

Classification (MSC2000): 16W25 - 46L57

Full text of the article:

Electronic version published on: 11 Apr 2006. This page was last modified: 13 Apr 2006.

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