On the integral ideals of \(R[X]\) when \(R\) is a special principal ideal ring

DOI10.1007/s40863-020-00177-1zbMath1451.13028OpenAlexW3037365643WikidataQ107198585 ScholiaQ107198585MaRDI QIDQ2211233

B. Boudine, Mohamed El Hassani Charkani

Publication date: 13 November 2020

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-020-00177-1

zbMATH Keywords

polynomialscommutative ringsdegree of polynomialprincipal ideal ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)

Related Items (4)

On the classification of ideals over \(R[X/\langle f(X)^{p^s}\rangle\) when \(R=\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+\cdots+u^n\mathbb{F}_{p^m}\)] ⋮ Characterization of irreducible polynomials over a special principal ideal ring ⋮ Polycyclic codes over \(\mathbb{F}_{p^m} [u / \langle u^2 \rangle \): classification, Hamming distance, and annihilators] ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On efficient generation of ideals
• Similarity of matrices over Artinian principal ideal rings
• On the structure of linear and cyclic codes over a finite chain ring
• Enumeration of finite commutative chain rings
• Lifting of generators of ideals to Laurent polynomial ring
• On the expected number of generators of a submodule of a free module over a finite special principal ideal ring
• Completely primary rings. IV. Chain conditions
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• Monic Polynomials and Generating Ideals Efficiently

This page was built for publication: On the integral ideals of \(R[X]\) when \(R\) is a special principal ideal ring