Certain partitions on a set and their applications to different classes of graded algebras-Reference-Cited by-同舟云学术

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

Published:2021-06-01 Issue:2 Volume:29 Page:243-254
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Calderón Martín Antonio J.¹,Dieme Boubacar²

Affiliation:

1. Department of Mathematics, Faculty of Sciences , University of Cádiz , Campus de Puerto Real , , Puerto Real , Cádiz , Spain

2. Department of Mathematics, Faculty of Sciences , University Cheikh Anta Diop of Dakar , Dakar , Senegal

Abstract

Abstract Let (𝔘, ɛu ) and (𝔅, ɛb ) be two pointed sets. Given a family of three maps ℱ = {f 1 : 𝔘 → 𝔘; f 2 : 𝔘 × 𝔘 → 𝔘; f 3 : 𝔘 × 𝔘 → 𝔅}, this family provides an adequate decomposition of 𝔘 \ {ɛu } 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0021

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