Browsing by Subject "Finite rings"

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

Adero, Walwenda Shadrack; Oduor, Owino Maurice (Journal of Advances in Mathematics, 2016-05)

Let R be a Completely Primary Finite Ring with a unique maximal ideal Z(R)) , satisfying (( ( )) (0) 1  n Z R and ( ( )) = (0). n Z R The structures of the units some classes of such rings have been ...
On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring

Adero, Walwenda Shadrack; Ingado, Daisy; Oduor, Owino Maurice (Journal of Mathematics and Statistical Science, 2016)

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( ...

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