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arxiv: 1508.06860 · v1 · pith:T3ODQAP7new · submitted 2015-08-27 · 🧮 math.AC · math.RA

Nilpotent evolution algebras over arbitrary fields

classification 🧮 math.AC math.RA
keywords algebrasevolutionnilpotentannihilatorapproacharbitraryclassfiedclassify
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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.

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