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Abstract This article is devoted to n-dimensional nilpotent finite-dimensional evolution algebras with maximal index of nilpotency. We are able to find full invariants of these algebras which allows us to… Click to show full abstract
Abstract This article is devoted to n-dimensional nilpotent finite-dimensional evolution algebras with maximal index of nilpotency. We are able to find full invariants of these algebras which allows us to classify them. Furthermore, we explicitly describe its associative enveloping algebras. Moreover, we give an affirmative answer to the question: is it possible to extend a given derivation of the nilpotent evolution algebra to its enveloping algebra.
Keywords:
evolution;
classification nilpotent;
extensions derivations;
nilpotent evolution;
algebras extensions;
evolution algebras
Journal Title: Communications in Algebra
Year Published: 2020
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Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!