IJPAM: Volume 86, No. 6 (2013)

WEAKLY $n-$PRIME IDEAL OF POSETS

J. Catherine Grace John$^1$, B. Elavarasan$^2$
$^{1,2}$Department of Mathematics
School of Science and Humanities
Karunya University
Coimbatore, 641 114, Tamilnadu, INDIA


Abstract. In this paper, we study the weakly $n-$prime ideals of poset and shown that for a weakly $3-$prime ideal $I$ of $P,$ if $I$ has $*-$property(for any $a,b\in P\backslash J,$ we have either $a=b$ or $L(a,b)=\{0\}$), then there are at most two prime ideals of $P$ that are minimal over $I.$ there are at most two prime ideals of $P$ that are minimal over $I.$

Received: May 9, 2013

AMS Subject Classification: posets, ideals, prime ideals and $m-$system

Key Words and Phrases: 06D6

Download paper from here.


DOI: 10.12732/ijpam.v86i6.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 6