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On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring

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dc.contributor.author Walwenda Shadrack Adero, Ingado Daisy, Owino Maurice Oduor
dc.date.accessioned 2021-05-20T09:49:12Z
dc.date.available 2021-05-20T09:49:12Z
dc.date.issued 2016
dc.identifier.uri https://repository.maseno.ac.ke/handle/123456789/3776
dc.description.abstract Let r be a positive integer and 2 ≤ ∈k . Let ( ) kr k GR p p, be a Galois ring of order kr p and characteristic k p . Consider, ( ) kr k R GR p p U = ,⊕ where U is a finitely generated ( ) kr k GR p p, module. If Z R( ) is the set of zero divisors in R satisfying the condition 2 ( ( )) ( ) kr r Z R GR p p ⊆ , then it is well known that R is a completely primary finite ring and the structure of its group of units has been studied before. In this paper, we study the structure of its zero divisors via the zero divisor graphs. en_US
dc.publisher Journal of Mathematics and Statistical Science en_US
dc.subject Finite rings, Zero divisor graphs. en_US
dc.title On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring en_US
dc.type Article en_US


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