Structurable algebra
id:
structurable-algebra-288-3883283
title:
Structurable algebra
text:
In abstract algebra, a structurable algebra is a certain kind of unital involutive non-associative algebra over a field. For example, all Jordan algebras are structurable algebras, as is any alternative algebra with involution, or any central simple algebra with involution. An involution here means a linear anti-homomorphism whose square is the identity. Assume A is a unital non-associative algebra over a field, and x ↦ x ¯ is an involution. If we define V x , y z := z + x − y , and [ x , y ] =
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encyclopedia
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https://en.wikipedia.org/wiki/Structurable_algebra
date created:
date modified:
2020-12-29T18:07:53Z
main entity:
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