- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Some Remarks on the Primary ideals of $\Bbb Z_{p^m}[X]$ Commun. Korean Math. Soc. 2006 Vol. 21, No. 4, 641-652 Printed December 1, 2006 Sung Sik Woo Ewha Women's University Abstract : In [2], they found some natural generators for the ideals of the finite ring $\Bbb Z_{p^m}[X]/(X^n-1)$, where $p$ and $n$ are relatively prime. If $p$ and $n$ are not relatively prime $X^n-1$ is not a product of basic irreducible polynomials but a product of primary polynomials. Due to this fact, to consider the ideals of $\Bbb Z_{p^m}[X]/(X^n-1)$ in `inseparable' case we need to look at the primary ideals of $\Bbb Z_{p^m}[X]$. In this paper, we find a set of generators of ideals of $\Bbb Z_{p^m}[X]/(f)$ for some primary polynomials $f$ of $\Bbb Z_{p^m}[X]$. Keywords : primary ideal, polynomial over a finite ring MSC numbers : 13C12 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd