SZTE Repository of Papers and Books: No conditions. Results ordered -Date Deposited. 2020-08-06T00:51:34ZEPrintshttp://acta.bibl.u-szeged.hu/images/acta.jpghttp://acta.bibl.u-szeged.hu/2018-02-12T09:57:13Z2018-06-07T11:38:12Zhttp://acta.bibl.u-szeged.hu/id/eprint/50070This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/500702018-02-12T09:57:13ZInitial algebra for a system of right-linear functorsIn 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.Anna LabellaRocco de Nicola