English

Nilpotent evolution algebras over arbitrary fields

Commutative Algebra 2015-08-31 v1 Rings and Algebras

Abstract

The paper is devoted to the study of annihilator extensions of evolution algebras and suggests an approach to classify finite-dimensional nilpotent evolution algebras. Subsequently nilpotent evolution algebras of dimension up to four are classfied.

Keywords

Cite

@article{arxiv.1508.06860,
  title  = {Nilpotent evolution algebras over arbitrary fields},
  author = {A. S. Hegazi and Hani Abdelwahab},
  journal= {arXiv preprint arXiv:1508.06860},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1312.4685 by other authors

R2 v1 2026-06-22T10:42:53.277Z