Essential Ideal of a Matrix Nearring and Ideal Related Properties of Graphs
Document Type
Article
Publication Title
Boletim da Sociedade Paranaense de Matematica
Abstract
In this paper, we consider matrix maps over a zero-symmetric right nearring N with 1. We define the notions of f-essential ideal, f-superfluous ideal, generalized f-essential ideal of a matrix nearring and prove results which exhibit the interplay between these ideals and the corresponding ideals of the base nearring N. We discuss the combinatorial properties such as connectivity, diameter, completeness of a graph (denoted by Lg(H)) defined on generalized essential ideals of a finitely generated module H over N. We prove a characterization for Lg(H) to be complete. We also prove Lg(H) has diameter at-most 2 and obtain related properties with suitable illustrations.
DOI
10.5269/bspm.67533
Publication Date
1-1-2024
Recommended Citation
Salvankar, Rajani; Srinivas, Kedukodi Babushri; Panackal, Harikrishnan; and Prasad, Kuncham Syam, "Essential Ideal of a Matrix Nearring and Ideal Related Properties of Graphs" (2024). Open Access archive. 10949.
https://impressions.manipal.edu/open-access-archive/10949
