Work

In-evolution operators in Lotka–Volterra coalgebras

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827501234

Authors: Manuel Arenas, Alicia Labra, Irene Paniello

Institutions: Metropolitan University of Technology, University of Chile, Universidad de Zaragoza

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Gobierno de Aragón, European Regional Development Fund, Agencia Estatal de Investigación

Awards: G4456233797, G5089039682, G6372765033, G8611269694