@misc{10498/26917, year = {2021}, url = {http://hdl.handle.net/10498/26917}, 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.}, publisher = {Sciendo}, keywords = {application}, keywords = {graded algebra}, keywords = {involutive algebra}, keywords = {quadratic algebra}, keywords = {Set}, keywords = {structure theory}, keywords = {weak H-algebra}, title = {Certain partitions on a set and their applications to different classes of graded algebras}, doi = {10.2478/cm-2021-0021}, author = {Calderón Martín, Antonio Jesús and Dieme, Boubacar}, }