Some Properties of Co-Cohen-Macaulay Modules in the Theory of the Edge Ideal of a Graph Simple

Authors

Carlos Henrique Tognon, Department of Mathematics, University of Sa ̃o Paulo, ICMC, Sa ̃o Carlos - SP, BrazilFollow

Author Country (or Countries)

Brazil

Abstract

In this article, we study the theory and properties of co-Cohen-Macaulay modules. We show, for example, that the co- localization of co-Cohen-Macaulay modules preserves co-Cohen-Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen-Macaulay modules by vanishing properties of the dual Bass numbers of modules. Moreover, we involve the theory of graphs within such modules achieving some applications for the edge ideal of a graph.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140106

Recommended Citation

Henrique Tognon, Carlos (2020) "Some Properties of Co-Cohen-Macaulay Modules in the Theory of the Edge Ideal of a Graph Simple," Applied Mathematics & Information Sciences: Vol. 14: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/amis/140106
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss1/6