Considering a commutative ring R with non-zero identity and the  R-module I(G), which is the edge ideal of a finite simple graph G, with no isolated vertex, we introduce the notion of an ω-edge ideal, which is a module. We establish some results which involve the sum of ω-edge ideals.

ω-edge ideal, semisimple modules, edge coatomic, edge reduced, edge ideal of a graph.

Received: April 24, 2023; Revised: September 8, 2023; Accepted: September 15, 2023; Published: October 12, 2023

How to cite this article: C. H. Tognon, On an w-edge ideal of a simple graph, Far East Journal of Applied Mathematics 116(3) (2023), 237-247. http://dx.doi.org/10.17654/0972096023013

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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