Nearlattices Whose Sets of Principal <i>n</i>-ideals Form Relatively Normal Nearlattices
Keywords:Relatively Normal Near lattice, Relative n-annihilator, Incomparable prime n-ideals.
We generalize several results of relatively normal nearlattices in terms of n-ideals. We introduce the notion of relative n-annihilators in a nearlattice and include some interesting results on this. Several characterizations of the set of principal n-ideals Pn(S) are given which forms a relatively normal nearlattice in terms of relative n-annihilators. It is shown that Pn(S) is relatively normal if and only if for any two incomparable prime n-ideals P and Q, P Ú Q=L.
Keywords: Relatively normal nearlattice; Relative n-annihilator; Incomparable prime n-ideals.
© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.
doi:10.3329/jsr.v3i1.3955 J. Sci. Res. 3 (1), 35-42 (2011)
How to Cite
© Journal of Scientific Research
Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.