From the 2 of 5 linked papers with an AI index.
5 papers
Realizing additive monoids as mapping degree sets
Cristina Costoya, Vicente Muñoz, Bruno Valverde-Morales +1
The paper proves that mapping degree sets are stable under multiplication by finite integer subsets containing 0 and under operations derived from additive submonoids of ℤ, and sho…
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…
Rigidifying simplicial complexes and realizing group actions
Cristina Costoya, Rafael Gomes, Antonio Viruel
We show that any action of a finite group on a finitely presentable group arises as the action of the group of self-homotopy equivalences of a space on its fundamental group. In do…
Hom-counting functions, combinatorial categories and related problems
Antonio Ceres, Cristina Costoya, Antonio Viruel
Combinatorial categories satisfy a stronger form of Yoneda Lemma, namely, the isomorphism type of an object can be recovered by counting the number of homomorphisms from all other…
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…