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- W3134701178 abstract "Evolution algebras with one dimensional square are classified using the theory of inner product spaces. More precisely, for $A$ an evolution algebra with $dim(A^2) = 1$ and $a$ a generator of $A^2$, the product of $A$ is given by $xy = langle x,yrangle a$. Three broad classes of algebras are obtained: (1) $ainhbox{Ann}(A)$; (2) $anotintext{Ann}(A)$ and $a$ is isotropic relative to $langlecdot, cdotrangle$; (3) $anotintext{Ann}(A)$ and $a$ is anisotropic relative to $langlecdot, cdotrangle$." @default.
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- W3134701178 date "2021-03-02" @default.
- W3134701178 modified "2023-09-27" @default.
- W3134701178 title "Evolution algebras with one-dimensional square" @default.
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