Decompositions for Based Algebras with Bilinear Forms: A Graph Theory Connection
We consider the category of based algebras with bilinear forms and show that any object in this category decomposes as a direct sum of irreducible orthogonal ideals. By associating an adequate graph with a based algebra with a bilinear form, this decomposition can be recovered from a graph theory viewpoint.
Authors
- Diouf Mame Cheikh
- Antonio J. Calderón Martı́n (ORCID: https://orcid.org/0000-0002-4628-522X)
Institutions
- Universidad de Cádiz (ES)
- Hospital Universitario Puerto Real (ES)
- Cheikh Anta Diop University (SN)
Publication Details
- Journal
- Axioms
- Published
- 2025-09-20
- DOI
- https://doi.org/10.3390/axioms14090709
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00