Basic ideals in evolution algebras
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DOI: 10.1016/j.laa.2019.01.010
Abstract: Abstract With the aim of finding useful tools and invariants to classify finite dimensional evolution algebras, we introduce and study the notion of a basic ideal. Every n -dimensional perfect evolution algebra has a maximal… read more here.
Keywords: evolution; evolution algebras; basic ideals; ideals evolution ... See more keywords
Classification of nilpotent evolution algebras and extensions of their derivations
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DOI: 10.1080/00927872.2020.1757688
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… read more here.
Keywords: evolution; classification nilpotent; extensions derivations; nilpotent evolution ... See more keywords
Entropy Treatment of Evolution Algebras
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DOI: 10.3390/e24050595
Abstract: In this paper, by introducing an entropy of Markov evolution algebras, we treat the isomorphism of S-evolution algebras. A family of Markov evolution algebras is defined through the Hadamard product of structural matrices of non-negative… read more here.
Keywords: treatment evolution; entropy treatment; evolution algebras; isomorphism ... See more keywords