In-evolution operators in Lotka-Volterra coalgebras

Arenas, Manuel ; Labra, Alicia ; Paniello, Irene (Universidad de Zaragoza)

Resumen: In this paper, we study properties of in-evolution operators in Lotka–Volterra coalgebras. First, we cope with the notion of coalgebra character, and classify characters in special cases as, for instance, those of two-dimensional Lotka–Volterra coalgebras and of normalized duals of Lotka–Volterra algebras. Then, we study the in-evolution operators defined by nonzero characters of Lotka–Volterra coalgebras, focusing on the case when the in-evolution operators are stochastic maps. For such operators, we study the usual equilibrium issues, paying special attention to idempotent in-evolution operators, and the information that their idempotency provides on the structure of Lotka–Volterra coalgebras.

Idioma: Inglés

DOI: 10.1142/S0219498827501234

Año: 2026

Publicado en: JOURNAL OF ALGEBRA AND ITS APPLICATIONS 2750123 (2026), 26
ISSN: 0219-4988

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-23R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Algebra (Dpto. Matemáticas)