Some properties of the edge ideal of a simple graph in the theory of local cohomology modules

Articles in Press

Document Type : Research Paper

Author

Federal University of Triangulo Mineiro, Brazil

Abstract

In this paper, we have $R$ a commutative Noetherian ring, with nonzero identity, and $\mathfrak{a}$ an ideal of $R$. Here, we give some results of the theory of modules for local cohomology involving the edge ideal. We introduce the concept of $\mathfrak{a}$-edge minimax $R$-modules and also the concept of $\mathfrak{a}$-edge cominimax $R$-modules, together with the edge ideal of a simple and finite graph, with no isolated vertices. We put results involving these new concepts and present relationships that exist between them.

Keywords

Main Subjects

Journal of Algebra and Related Topics

Articles in Press, Corrected Proof
Available Online from 25 January 2026

Files

Share

How to cite

Statistics