On the Zero Divisor Graphs of a Class of Commutative Completely Primary Finite Rings
Author(s) -
Maurice Owino Oduor,
Walwenda Shadrack Adero
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i3.454
Subject(s) - zero divisor , mathematics , commutative ring , zero (linguistics) , class (philosophy) , combinatorics , ideal (ethics) , ring (chemistry) , primary ideal , divisor (algebraic geometry) , discrete mathematics , commutative property , pure mathematics , principal ideal ring , linguistics , philosophy , chemistry , organic chemistry , artificial intelligence , computer science , epistemology
Let R be a Completely Primary Finite Ring with a unique maximal ideal Z(R)), satisfying ((Z(R))n−1 ̸= (0) and (Z(R))n = (0): The structures of the units some classes of such rings have been determined. In this paper, we investigate the structures of the zero divisors of R:
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