Shape identities in genetic algebras
type: Item
instance of: scholarly article
title: Shape identities in genetic algebras
zbMATH Open document ID: 0820.17046
DOI: 10.1016/0024-3795(93)00060-D
published in: Linear Algebra and its Applications
publication date: 1995-08-28T00:00:00Z
review text: Given a nonassociative algebra \(A\), the author calls any identity involving only those multilinear monomials in \(k\) variables \(x_ 1, \dots, x_ k\) which preserve the ordering of the variables a shape identity of the algebra. Among other results it is shown that every genetic algebra satisfies nontrivial shape identities. Furthermore, all shape identities satisfied by gametic algebras are determined.
reviewed by: S Walcher
Mathematics Subject Classification ID: 17D92
zbMATH DE Number: 731876
zbMATH Keywords: shape identity
zbMATH Keywords: genetic algebra
zbMATH Keywords: gametic algebras
author: Roberto Costa
MaRDI profile type: Publication
cites work: A note on train algebras
cites work: Q3785018
cites work: Varieties of algebras
cites work: Dupliquée d'une algèbre et le théorème d'Etherington. (Duplicate of an algebra and Etherington's theorem)
cites work: Bernstein algebras which are Jordan algebras
cites work: Algebras which satisfy a train equation for the first three plenary powers
cites work: Q3869125
description: scientific article; zbMATH DE number 731876