International Journal of Scientific Engineering and Technology
  • Year: 2013
  • Volume: 2
  • Issue: 12

Study on Prime n-ideals of a Lattice

  • Author:
  • Ekramul Islam1,, Arjuman Ara2, Rezwan Ahamed Fahim1, Hafizur Rahman1
  • Total Page Count: 2
  • Page Number: 1221 to 1222

1Department of Mathematics, Pabna University of Science and Technology, Bangladesh

2Department of Textile Engineering, City University, Bonani, Dhaka-1213, Bangladesh

*Corresponding Email: ekramul.mathru@gmail.com

Online published on 4 November, 2017.

Abstract

For a fixed element n in a lattice L, any convex sub-lattice containing n is called an n-ideal. We generalize several results of prime ideals of a lattice in terms of n-ideals. We introduce the notion of relative prime n-ideals in a lattice and include some interesting results on this.

Keywords

N-ideals, Prime n-ideals, Convex sub-lattice, distributive lattice