A note on duplication of algebras
type: Item
instance of: scholarly article
title: A note on duplication of algebras
zbMATH Open document ID: 0651.17013
DOI: 10.1016/0024-3795(88)90307-2
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: The author shows that if a nonassociative algebra A satisfies A \(2=A\) and has an idempotent, then A and its duplicate have isomorphic automorphism groups and isomorphic derivation algebras. An example shows that the condition A \(2=A\) is necessary. Finally there is an application of this result to multiple allelic polyploidy algebras.
Mathematics Subject Classification ID: 17D92
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 4061463
zbMATH Keywords: gametic algebra
zbMATH Keywords: zygotic populations
zbMATH Keywords: idempotent
zbMATH Keywords: duplicate
zbMATH Keywords: automorphism groups
zbMATH Keywords: derivation algebras
zbMATH Keywords: multiple allelic polyploidy algebras
author: Luiz Antonio Peresi
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90307-2
OpenAlex ID: W2086418099
cites work: Duplication of linear algebras
cites work: Special train algebras arising in genetics II
cites work: Q3869125
cites work: On the derivation algebra of zygotic algebras for polyploidy with multiple alleles
cites work: On baric algebras with prescribed automorphisms
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description: scientific article; zbMATH DE number 4061463