English

Power-associative evolution algebras

Rings and Algebras 2018-12-27 v1

Abstract

The paper is devoted to the study of evolution algebras that are power-associative algebras. We give the Wedderburn decomposition of evolution algebras that are power-associative algebras and we prove that these algebras are Jordan algebras. Finally, we use this decomposition to classify these algebras up to dimension six.

Keywords

Cite

@article{arxiv.1812.09986,
  title  = {Power-associative evolution algebras},
  author = {Moussa Ouattara and Souleymane Savadogo},
  journal= {arXiv preprint arXiv:1812.09986},
  year   = {2018}
}

Comments

20 pages, English

R2 v1 2026-06-23T06:55:31.484Z