Open AccessAutomorphisms of Zero Divisor Graphs of Square Radical Zero Commutative Unital Finite Rings
Author(s) -
Lao Hussein Mude,
Owino Maurice Oduor,
Ojiema Michael Onyango
Publication year - 2020
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v19i.8834
Subject(s) - zero divisor , mathematics , zero (linguistics) , automorphism , divisor (algebraic geometry) , unital , pure mathematics , commutative ring , category of rings , commutative property , discrete mathematics , combinatorics , algebra over a field , principal ideal ring , philosophy , linguistics
There has been extensive research on the structure of zero divisors and units of commutative finite rings. However, the classification of such rings via a well-known structure of zero divisors has not been done in general. More specifically, the automorphisms of such classes of rings have not been fully characterized. In this paper, we obtain a more completeillustration of the automorphisms of zero divisor graphs of finite rings in which the product of any zero divisor