Certain partitions on a set and their applications to different classes of graded algebras

Abstract

Let (UEu) and (B Eb) be two pointed sets. Given a family of three maps {equation presented}, this family provides an adequate decomposition of U{Eu} as the orthogonal disjoint union of well-described F-invariant subsets. This decomposition is applied to the structure theory of graded involutive algebras, graded quadratic algebras and graded weak H∗-algebras. © 2021 Antonio J. Calderón Martín et al., published by Sciendo 2021.