eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2021-07-15
Volume 29 (2021), Issue 2...
10.2478/cm-2021-0021
9540
journal article
Certain partitions on a set and their applications to different classes of graded algebras
Antonio J. Calderón Martín
Boubacar Dieme
Let (A, u) and (B, b) be two pointed sets. Given a family ofthree maps F = {f1 : A → A; f2 : A × A → A; f3 : A × A → B}, thisfamily provides an adequate decomposition of A \ {u} as the orthogonaldisjoint union of well-described F-invariant subsets. This decompositionis applied to the structure theory of graded involutive algebras, gradedquadratic algebras and graded weak H∗-algebras.
https://cm.episciences.org/9540/pdf
[MATH]Mathematics [math]