S-Linear Almost Distributive Lattices

Authors

  • Chakradhara Rao Guddati professor,Department of Mathematics,Andhra University,Visakhapatnam, INDIA
  • N. Rafi
  • Ravi Kumar Bandaru

Keywords:

Almost Distributive Lattice (ADL), S − normal ADL, S − relatively normal ADL, S − linear ADL, uni subADL, Birkhoff centre, S − ideal, S − filter, Prime ideal, Prime filter

Abstract

The concept of an S − Linear ADL is defined and characterized in
terms of the S − prime ideals and S − prime filters.  Equivalent condition for an ADL R to become a (dually)B − relatively normal ADL in terms of minimal prime ideals(filters) and B − maximal ideals(filters) is obtained, where B is the Birkhoff centre of R.

Author Biography

  • Chakradhara Rao Guddati, professor,Department of Mathematics,Andhra University,Visakhapatnam, INDIA
    Professor,Department of Mathematics

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Published

2010-09-02

Issue

Vol. 3 No. 4: (July 2010)

Section

Algebra

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How to Cite

S-Linear Almost Distributive Lattices. (2010). European Journal of Pure and Applied Mathematics, 3(4), 704-716. https://www.ejpam.com/index.php/ejpam/article/view/709