Embedding of nonassociative algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 0961.17003
author: Ilie Burdujan
publication date: 2001-03-25T00:00:00Z
Mathematics Subject Classification ID: 17A60
Mathematics Subject Classification ID: 17A01
zbMATH DE Number: 1581438
zbMATH Keywords: embeddings into associative algebras
zbMATH Keywords: nonassociative algebras
zbMATH Keywords: right identity
zbMATH Keywords: representation-like mapping
MaRDI profile type: Publication
title: Embedding of nonassociative algebras
published in: Italian Journal of Pure and Applied Mathematics
review text: Associative algebras have a well-developed structure theory. The lack of the associativity necessitates troubles in the study of nonassociative algebras. In this paper it is proved that every nonassociative algebra having a right identity element can be embedded into an associative one so that the operations of these two algebras are connected with each other. Further the author investigates the connections between the operations of the two algebras implied by the embedding task, describes the basic properties of a natural representation-like mapping and its connections with the embedding and shows that an embedding is associated with a special kind of representation-like mapping of an associative algebra on a given nonassociative algebra with a right identity element.
reviewed by: Elena Broží ková
description: scientific article