International Journal of Scientific Engineering and Technology

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Study on Prime n-Ideals of a Lattice


Affiliations
1 Department of Mathematics, Pabna University of Science and Technology, Bangladesh
2 Department of Textile Engineering, City University, Bonani,Dhaka-1213, Bangladesh
 

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.
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  • Study on Prime n-Ideals of a Lattice

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Authors

Md. Ekramul Islam
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
Arjuman Ara
Department of Textile Engineering, City University, Bonani,Dhaka-1213, Bangladesh
Md. Rezwan Ahamed Fahim
Department of Mathematics, Pabna University of Science and Technology, Bangladesh
Md. Hafizur Rahman
Department of Mathematics, Pabna University of Science and Technology, Bangladesh

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.