Bernstein algebras with zero derivation algebra
type: Item
instance of: scholarly article
title: Bernstein algebras with zero derivation algebra
zbMATH Open document ID: 0784.17045
DOI: 10.1016/0024-3795(93)90517-R
author: Consuelo Martínez
author: Santos González
published in: Linear Algebra and its Applications
publication date: 1993-12-16T00:00:00Z
review text: This paper considers the following question: Are there Bernstein algebras with zero derivation algebras, and, if such algebras exist, what are their properties? The following theorem is proved: Let \(\omega\) be the weight function of the Bernstein algebra \(A\); if \(A\) has zero derivation algebra, then, \(\ker\omega\) is not nilpotent, that is, \(A\) is not a genetic algebra. Some other properties are established, and examples are given.
Mathematics Subject Classification ID: 17D92
zbMATH DE Number: 459084
zbMATH Keywords: idempotent
zbMATH Keywords: Bernstein algebras
zbMATH Keywords: zero derivation algebras
reviewed by: Monique Bertrand
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 459084