RT journal article T1 Certain partitions on a set and their applications to different classes of graded algebras A1 Calderón Martín, Antonio Jesús A1 Dieme, Boubacar A2 Matemáticas K1 application K1 graded algebra K1 involutive algebra K1 quadratic algebra K1 Set K1 structure theory K1 weak H-algebra AB 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. PB Sciendo SN 1804-1388 YR 2021 FD 2021 LK http://hdl.handle.net/10498/26917 UL http://hdl.handle.net/10498/26917 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026