TY - JOUR ID - 2666 TI - INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - MUKKAMALA, SAMBASIVA RAO AD - Department of Mathematics, MVGR College of Engineering, P.O. Box 535004, Vizianagaram, Andhra Pradesh, India. Y1 - 2023 PY - 2023 VL - 11 IS - 1 SP - 45 EP - 64 KW - Intrinsic ideal KW - inlet KW - prime ideal KW - Boolean algebra KW - Hausdorff space DO - 10.22044/jas.2022.11321.1565 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_2666.html L1 - https://jas.shahroodut.ac.ir/article_2666_8ea67e64d0577e5e08c0780e193e15d0.pdf ER -