Some lattices from polynomial rings

2023/09/16 by José Felipe Voloch, Voloch, José Felipe
Computer Science · Mathematics · #11H06 #11T06 #Coding theory and cryptography #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2309.08903

openalex publication_date 2023/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some properties of the lattices defined as the kernel of the map (a₁,…, a_q-1) ↦ ∏ (1-c_ix)^a_i ∈ (\mathbbF_q[x]/(x^e))^*, where \mathbbF_q^* = \c₁,…,c_q-1\.

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