Semi Prime Ideal in a-Distributive Lattice


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Authors

  • Ashok S. Kulkarni Department of Mathematics, D.A.B.N. College, Chikhali, Shirala, Sangli, Maharashtra, India
  • A. D. Lokhande Department of Mathematics, Y. C. Warana Mahavidyalay Warananagar, Kolhapur, Maharashtra, India

Keywords:

Prime Ideal, Semi Prime Ideal, Distributive Lattice

Abstract

In this paper we define semi prime ideal in a a-distributive lattice L. For a non empty subset B of a a-distributive lattice L, we observe if L is a a-distributive lattice then annihilator of B as $B^{a} = \{x \in L / x \wedge b \le a\ \ \forall\ \ b \in B \}$ is a semi prime ideal for any non empty subset B of L and observe some properties.

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Published

15-09-2018

How to Cite

Ashok S. Kulkarni, & A. D. Lokhande. (2018). Semi Prime Ideal in a-Distributive Lattice. International Journal of Mathematics And Its Applications, 6(3), 63–68. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/360

Issue

Vol. 6 No. 3 (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.