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

Let (U, ) and (B, ) be two pointed sets. Given a family of three maps = { : U → U; : U × U U; : U × U B}, this family provides an adequate decomposition of U \ { } as the orthogonal disjoint union of well-described -invariant subsets. This decomposition is applied to the structure theory of graded i...

Full description

Saved in:
Bibliographic Details
Published in:Communications in Mathematics 2021-06, Vol.29 (2), p.243-254
Main Authors: Calderón Martín, Antonio J., Dieme, Boubacar
Format: Article
Language:English
Subjects:
03E75
08A05
16W50
17A01
17A45
algebra
application
graded algebra
involutive algebra
Mathematics
quadratic algebra
Set
structure theory
weak
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let (U, ) and (B, ) be two pointed sets. Given a family of three maps = { : U → U; : U × U U; : U × U B}, this family provides an adequate decomposition of U \ { } as the orthogonal disjoint union of well-described -invariant subsets. This decomposition is applied to the structure theory of graded involutive algebras, graded quadratic algebras and graded weak -algebras.
ISSN:2336-1298
1804-1388
2336-1298
DOI:10.2478/cm-2021-0021