11 citations · 37 across the 17 of their papers we have counts for
20 papers
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…
Realizing additive monoids as mapping degree sets
Cristina Costoya, Vicente Muñoz, Bruno Valverde-Morales +1
We prove that mapping degree sets are stable under multiplication by finite subsets of containing and by sets obtained from additive submonoids of throu…
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…
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…