Conjugacy classes and invariant subrings of R-automorphisms of R[x]

2007/07/11 by Jebrel M. Habeb, Mowaffaq Hajja, Habeb, Jebrel M. +3
Computer Science · Mathematics · #13A50 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0707.1539

openalex publication_date 2007/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the group G of R-automorphisms of the polynomial ring R[x] especially in the case where R is the ring of integers modulo n. We describe conjugacy classes in G, and in the case where n = 4, we describe more explicitly the structure of G and determine all rings of invariants of R[x] with respect to subgroups of G.

Citations

• Remarks on Divisors of Zero

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