Some properties of 2-absorbing primary ideals in lattices

Peer review under responsibility of Kalasalingam University.

Abstract

We introduce the concepts of a primary and a 2-absorbing primary ideal and the radical of an ideal in a lattice. We study some properties of these ideals. A characterization for the radical of an ideal to be a primary ideal is given. Also a characterization for an ideal $I$ to be a 2-absorbing primary ideal is proved. Examples and counter examples are given wherever necessary.

Keywords:

• Ideal
• Prime ideal
• Primary ideal
• 2-absorbing ideal
• 2-absorbing primary ideal

Notes

Peer review under responsibility of Kalasalingam University.