170464 20260422085545.0 doi 10.1142/S0219498827501234 sideral 147968 ART-2026-147968 eng Arenas, Manuel In-evolution operators in Lotka-Volterra coalgebras 2026 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E22-23R info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Labra, Alicia Paniello, Irene Universidad de Zaragoza (orcid)0000-0002-3240-5067 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 2750123 (2026), 26 JOURNAL OF ALGEBRA AND ITS APPLICATIONS JOURNAL OF ALGEBRA AND ITS APPLICATIONS 0219-4988 403078 http://zaguan.unizar.es/record/170464/files/texto_completo.pdf Postprint 1318571 http://zaguan.unizar.es/record/170464/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:170464 articulos driver 2026-04-22-08:32:57 ARTICLE