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Modular lattice : distributive lattice are modular lattice Part iii complemented lattice : A, B are complemented lattices iff AxB is complemented • AxB is complemented iff A,B r .. #discrete... Part ii in complemented distributive lattice DeMargon law hold • Complemented latticeDeMorgan law #discrete... Complemented lattice : definition, example • Complemented lattice| Theorem #discretemat... In bounded distributive lattice (if exists) complement of an element is unique Complete lattice • Complete|Distributive lattice #discretemat... Distributive lattice Bounded Lattice: theorem • Bounded Lattice #discretemathematics #bsc_... Types of Lattice: Sublattice • Isomorphic Lattice |Sublattice #discretema... Isomorphic Lattice Theorem: If f is an isomorphism then if every element of codomain relate then its pre image exist and relate. Lattice part III theorem on Lattice • Theorem on LATTICE #discretemathematics #b... lattice part II: definition of Duality, principal of duality • Duality| principal of duality| lattice| th... theorem: In a lattice 1. a meet b =a iff a relate to b 2. a join b =b iff a relate to b 3. a join b = b iff a meet b = a Lattice part I : • theo. on lattice|part I |discrete mathemat... theorem: for any a, b in a lattice a is related to a join b and a meet b related to a next lecture we cover another theorem on lattice For definition of lattice Refer: • Lattice|discrete mathematics lect13|GATE|M... For the definition of partial order relation And prove that power set of a set with the relation inclusion is poset. Refer: • Partial ordering relation|definition|examp... For definition of greatest lower bound and least upper bound Refer: • Definition of maximal|minimal|GLB|LUB|hass... For the definition of hasse diagram and how to draw a diagram with the relation divisibility Refer: • Hasse diagram| discrete mathematics lect10... This video is beneficial for students of B.Sc,M.Sc,BCA,MCA, UGC NET,GATE CS ,JAM,NBHM,TIFR,PhD entrance,M.Sc. entrance aspirants. So do watch this video subscribe my channel If you like it please give a 👍 and share with more students