000170464 001__ 170464 000170464 005__ 20260422085545.0 000170464 0247_ $$2doi$$a10.1142/S0219498827501234 000170464 0248_ $$2sideral$$a147968 000170464 037__ $$aART-2026-147968 000170464 041__ $$aeng 000170464 100__ $$aArenas, Manuel 000170464 245__ $$aIn-evolution operators in Lotka-Volterra coalgebras 000170464 260__ $$c2026 000170464 5060_ $$aAccess copy available to the general public$$fUnrestricted 000170464 5203_ $$aIn 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. 000170464 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-23R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21 000170464 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000170464 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000170464 700__ $$aLabra, Alicia 000170464 700__ $$0(orcid)0000-0002-3240-5067$$aPaniello, Irene$$uUniversidad de Zaragoza 000170464 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000170464 773__ $$g2750123 (2026), 26$$pJOURNAL OF ALGEBRA AND ITS APPLICATIONS$$tJOURNAL OF ALGEBRA AND ITS APPLICATIONS$$x0219-4988 000170464 8564_ $$s403078$$uhttps://zaguan.unizar.es/record/170464/files/texto_completo.pdf$$yPostprint 000170464 8564_ $$s1318571$$uhttps://zaguan.unizar.es/record/170464/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000170464 909CO $$ooai:zaguan.unizar.es:170464$$particulos$$pdriver 000170464 951__ $$a2026-04-22-08:32:57 000170464 980__ $$aARTICLE