INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES

نویسندگان

1 Department of Mathematics, MVGR College of Engineering, P.O. Box 535004, Vizianagaram, Andhra Pradesh, India.

doi
10.22044/jas.2022.11321.1565
چکیده

The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets. Certain equivalent conditions are given for an ideal of a distributive lattice to become intrinsic. Some equivalent conditions are derived for the quotient lattice, with respect to a congruence, to become a Boolean algebra. Some topological properties of the prime spectrum of intrinsic ideals of distributive lattice are derived.