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http://dx.doi.org/10.5666/KMJ.2016.56.3.727

Strongly Prime Ideals and Primal Ideals in Posets

John, Catherine Grace (Department of Mathematics, Karunya University)
Elavarasan, Balasubramanian (Department of Mathematics, Karunya University)

Publication Information

Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 727-735 More about this Journal

Abstract

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.

Keywords

Poset; ideals; strongly prime ideal; primal ideal; minimal prime ideal;

Citations & Related Records

Reference

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