A note on cyclotomic polynomials
Resource
Rocky Mountain Journal of Mathematics 29 (3): 893-907
Journal
Rocky Mountain Journal of Mathematics
Pages
893-907
Date Issued
1999
Date
1999
Author(s)
Kang, M. C.
Abstract
Let R be a Dedekind domain and n a squarefree positive integer, Λ := R[T]/n - 1. The fact that Λ is a Dedekind-like ring will make possible the classification of integral representations of the cyclic group of order n over R [7]. We shall prove that A is a Dedekind-like ring for a fairly large class of Dedekind domains R. The proof is facilitated by an identity among cyclotomic polynomials [2]. Some other applications of the same identity will be presented also. © 1999 Rocky Mountain Mathematics Consortium.
Type
journal article
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