$\tau$-Atomicity and Quotients of Size Four

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-02-03 DOI:10.5556/J.TKJM.52.2021.3241

R. Hasenauer, Bethany Kubik

引用次数: 0

Abstract

Given a ring $R$, an ideal $I$ of $R$, and an element $a\in I$, we say $a=\lambda b_1\cdots b_k$ is a $\tau_I$-factorization of $a$ if $\lambda$ is any unit and $b_1\equiv\cdots\equiv b_k\pmod{I}$. In this paper, we investigate the $\tau_I$-atomicity of PIDs with ideals where $R/I$ has size four.

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$\tau$-大小为4的原子性和商

给定一个环$R$, $R$的理想$I$，以及一个元素$a\in I$，如果$\lambda$是任意单位，我们说$a=\lambda b_1\cdots b_k$是$a$的$\tau_I$分解，$b_1\equiv\cdots\equiv b_k\pmod{I}$。本文研究了$R/I$大小为4的理想pid的$\tau_I$ -原子性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.

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