Non-associative algebra

id: non-associative-algebra-172-16303124
title: Non-associative algebra
text: A non-associative algebra (or distributive algebra) is an algebra over a field where the binary multiplication operation is not assumed to be associative. That is, an algebraic structure A is a non-associative algebra over a field K if it is a vector space over K and is equipped with a K-bilinear binary multiplication operation A × A → A which may or may not be associative. Examples include Lie algebras, Jordan algebras, the octonions, and three-dimensional Euclidean space equipped with the cros
brand slug: wiki
category slug: encyclopedia
description: Algebra over a field where binary multiplication is not necessarily associative
original url: https://en.wikipedia.org/wiki/Non-associative_algebra
date created: 2006-08-18T10:01:13Z
date modified: 2024-09-01T22:33:40Z
main entity: {"identifier":"Q4391941","url":"https://www.wikidata.org/entity/Q4391941"}
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fields total: 13
integrity: 15

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