# The automorphism group of the zero-divisor digraph of matrices over an antiring

## TL;DR

This paper characterizes the automorphism group of the zero-divisor digraph for matrices over a specific type of semiring, expanding understanding of algebraic structures related to zero-divisors.

## Contribution

It provides the first detailed description of the automorphism group for zero-divisor digraphs in matrices over antinegative commutative semirings with finitely many zero-divisors.

## Key findings

- Automorphism group explicitly determined
- Structure depends on properties of the underlying semiring
- Results applicable to finite zero-divisor semirings

## Abstract

We determine the automorphism group of the zero-divisor digraph of the semiring of matrices over an antinegative commutative semiring with a finite number of zero-divisors.