What question did this study set out to answer?

The aim is to introduce and analyze annihilator graphs related to (m,n)-near rings and their properties.

July 17, 2026

Annihilator graphs of (m,n)-near rings

FMF. MohammadiYazd University BDB. DavvazYazd University

Key Points

The aim is to introduce and analyze annihilator graphs related to (m,n)-near rings and their properties.
Defined annihilator graphs in the context of (m,n)-near rings.
Established various properties and results related to these graphs.
Developed main theorems on the structural characteristics of the introduced graphs.
Proved significant properties of the introduced simple graphs associated with (m,n)-near rings.
Established important results concerning the structural characteristics of various undirected graphs.

Abstract

In this paper, we introduce the simple graph Formula: see text associated with an Formula: see text-near ring Formula: see text and establish several of its properties. Next, we define the annihilator graphs Formula: see text and Formula: see text in Formula: see text-near rings and prove a number of related results. Finally, we introduce the undirected graphs Formula: see text, Formula: see text, and Formula: see text, and develop the main theorems concerning their structural characteristics.

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