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Author

Lao Hussein Mude

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Open access Aug 2026

On Generalization of Centred Odd Cube of Length 2r+1

The study of integer $I$ for which $I$ is a sum of cubes is a subject of study in the areas of Diophantine equations, perhaps this is due to the fact that Diophantine equations have direct applications in coding theory. Let $r, w, d$ and $m$ be positive integers and suppose that $d$ is a common difference between any t...

Lao Hussein Mude, Robert Muriungi Gitunga, Kinyanjui Jeremiah Ndung’u · 0 citations
Open access Jul 2026

Structural Properties of Zero-Divisor Graphs of Multilocal Finite Rings

Let N =Yti=1pnii , t ≥ 2, where the primes p1, . . . , pt are distinct and ni ≥ 1, and let R = Z/NZ. The nonzero zero-divisors of R are partitioned by their truncated prime-adic valuation vectors. This paper develops the resulting valuation-layer description of the zero-divisor graph Γ(R). A complete formula is obtain...

Presley Kiplagat, Lao Hussein Mude, Zachary Kayiita · 0 citations

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