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Decompositions for Based Algebras with Bilinear Forms: A Graph Theory Connection

Year: 2025

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms14090709

Authors: Antonio J. Calderón Martín, Diouf Mame Cheikh

Institutions: Universidad de Cádiz, Cheikh Anta Diop University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4414409544

FWCI:

Cites: 18

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