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2016•JOURNAL OF ADVANCES IN MATHEMATICSOpen access

On the Zero Divisor Graphs of a Class of Commutative Completely Primary Finite Rings

Maurice Owino Oduor, Walwenda Shadrack Adero

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Abstract

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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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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Available abstract

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:

Key concepts: Zero divisor, Mathematics, Commutative ring, Zero (linguistics), Class (philosophy), Combinatorics, Ideal (ethics), Ring (chemistry)

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