additive monoids 1arithmetic progressions 1evolution algebras 1graph invariants 1grothendieck ring 1integer subsets 1mapping degree sets 1non-degenerate algebras 1realization problem 1tensor product 1zero divisors 1
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math.RA2026
On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras
Idrees Alshatnawi, Cristina Costoya, Antonio Viruel
The paper investigates the Grothendieck ring formed by finite‑dimensional non‑degenerate evolution algebras, showing how the balance of their associated directed graphs governs can…
math.RA2025
Permutation representations and automorphisms of evolution algebras
Cristina Costoya, Pedro Mayorga, Antonio Viruel
We prove that the natural permutation representation of highly transitive finite groups cannot be realized as the full automorphism group of an idempotent, finite-dimensional evolu…