%0 Journal Article %A Calderón Martín, Antonio Jesús %A Dieme, Boubacar %T Certain partitions on a set and their applications to different classes of graded algebras %D 2021 %@ 1804-1388 %U http://hdl.handle.net/10498/26917 %X 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. %K application %K graded algebra %K involutive algebra %K quadratic algebra %K Set %K structure theory %K weak H-algebra %~ Universidad de Cádiz