A note On 2-prime ideals

Let $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $P$ of $R$ and positive integer $\alpha$....

詳細記述

書誌詳細

出版年:	Journal of Mahani Mathematical Research
主要な著者:	Somayeh Hadjirezaei, Vajihe Sharifi
フォーマット:	論文
言語:	英語
出版事項:	Shahid Bahonar University of Kerman 2024-08-01
主題:	2-prime ideal almost 2-prime ideal almost 2-primary ideal weakly 2-primary ideal
オンライン･アクセス:	https://jmmrc.uk.ac.ir/article_4177_0419957ac4b3668e4839293280d7e38a.pdf