[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2022.30.2.187

ON ζ-FACTORS AND COMPUTING STRUCTURES IN CYCLIC n-ROOTS

Sabeti, Rostam (Great Lakes Association for Algebra and Computation (GLAAC), A Formation for Elite college students in the State of Michigan)

Publication Information

Korean Journal of Mathematics / v.30, no.2, 2022 , pp. 187-198 More about this Journal

Abstract

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.

Keywords

General number theory; Grobner basis; cyclic n-roots;

Citations & Related Records

Reference

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