On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice

Authors

  • Yashshree Shivaji Pawar
  • Imran A. Gaffar Shaikh

Keywords:

Almost Distributive Lattice (ADL), prime ideal, minimal prime ideal, maximal ideal, semi filter.

Abstract

Necessary and sufficient conditions for a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideal in an ADL are furnished. And some properties of the special subsets of the set of all prime ideals in an ADL are studied. 

Author Biography

  • Imran A. Gaffar Shaikh
    Mathematics

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Published

2013-01-23

Issue

Vol. 6 No. 1: (January 2013)

Section

Differential Equations

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How to Cite

On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice. (2013). European Journal of Pure and Applied Mathematics, 6(1), 107-118. https://www.ejpam.com/index.php/ejpam/article/view/1781