偏集中的强素数理想和原始理想

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.727

C. John, B. Elavarasan

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引用次数: 0

摘要

本文研究并建立了一类偏序集理想的一些有趣结果。证明了对于偏序集P的非零理想I, P的强素数理想最多有两个在I上最小。同时，我们研究了偏序集中原始理想的概念，并考虑了原始理想与强素数理想之间的关系。

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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Strongly Prime Ideals and Primal Ideals in Posets

In this paper, we study and establish some interesting results of ideals in a poset. It is shown that for a nonzero ideal I of a poset P , there are at most two strongly prime ideals of P that are minimal over I. Also, we study the notion of primal ideals in a poset and the relationship among the primal ideals and strongly prime ideals is considered.

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