Korean J. Math. Vol. 30 No. 2 (2022) pp.187-198
DOI: https://doi.org/10.11568/kjm.2022.30.2.187

On ζ-factors and computing structures in cyclic $n-$roots

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Rostam Sabeti


In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer $n$. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic $n-$roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for $n=16,18$ support the results.

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Great Lakes Association for Algebra and Computation


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