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math.RA2026
Commutative algebras are ideals of evolution algebras
Cristina Costoya, Amir Fernández Ouaridi, Antonio Viruel
We prove that every finite-dimensional commutative algebra can be embedded as an ideal of a finite-dimensional evolution algebra. We then determine the smallest possible dimension…
math.RA2026
On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras
Idrees Alshatnawi, Cristina Costoya, Antonio Viruel
We study the Grothendieck ring of finite-dimensional non-degenerate evolution algebras over a field , with addition induced by direct sum and multiplication induced by…