%0 Journal Article %@ 0324-721X %A Labella, Anna %A De Nicola, Rocco %D 2017 %F eprints:3952 %I Institute of Informatics, University of Szeged %J Acta Cybernetica %N 1 %P 191-201 %T Initial Algebra for a System of Right-Linear Functors %U http://eprints.imtlucca.it/3952/ %V 23 %X In 2003 we showed that right-linear systems of equations over regular expressions, when interpreted in a category of trees, have a solution whenever they enjoy a specific property that we called hierarchicity and that is instrumental to avoid critical mutual recursive definitions. In this note, we prove that a right-linear system of polynomial endofunctors on a cocartesian monoidal closed category which enjoys parameterized left list arithmeticity, has an initial algebra, provided it satisfies a property similar to hierarchicity. %Z SCOPUS ID: 2-s2.0-85020128814