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Metadata 
bibkey: cabrera2016evolution
authors: Yolanda Cabrera Casado; Mercedes Siles Molina; M. Victoria Velasco
year: 2016
title: "Evolution algebras of arbitrary dimension and their decompositions"
doi: null
url: https://arxiv.org/abs/1601.01832v2
claim: "Section 4 defines an algebra A to be simple when A² is nonzero and zero is its only proper ideal."
strata_touched:
  - D5/S3/QuadraticForms/EvolutionAlgebras/SimpleEvolutionAutomorphismMaximum
license: citation-only
triage: anchor

Simplicity of evolution algebras

Section 4, page 18 states: “We recall that an algebra A is simple if A² ≠ 0 and 0 is the only proper ideal.” The ideals are vector subspaces absorbing multiplication on both sides; they are not restricted to spans of subsets of a natural basis.

Verified locator

  • URL: https://arxiv.org/abs/1601.01832v2
  • Location: section 4, page 18, definition of simplicity.