S-Linear Almost Distributive Lattices

Chakradhara Rao Guddati, N. Rafi, Ravi Kumar Bandaru

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.

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

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