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Article Dans Une Revue Communications in Mathematics Année : 2021

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

Résumé

Let (A, u) and (B, b) be two pointed sets. Given a family of three maps F = {f1 : A → A; f2 : A × A → A; f3 : A × A → B}, this family provides an adequate decomposition of A \ {u} 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.
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hal-03665016 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Antonio J. Calderón Martín, Boubacar Dieme. Certain partitions on a set and their applications to different classes of graded algebras. Communications in Mathematics, 2021, Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga) (2), pp.243 - 254. ⟨10.2478/cm-2021-0021⟩. ⟨hal-03665016⟩
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