2 2 votes How to pick an option from this I feel like both c and d are correct what do you day? Set Theory & Algebra set-theory&algebra lattice + – pC 1.5k views answer comment Share Follow Print 0 reply Please log in or register to add a comment.
Best answer 3 3 votes http://math.stackexchange.com/questions/367583/example-of-partial-order-thats-not-a-total-order-and-why pC answered Jun 22, 2016 pC comment Share Follow 0 reply Please log in or register to add a comment.
1 1 vote (p(s),subset) is a lattice only D is false viv696 answered Jun 22, 2016 viv696 comment Share Follow See all 4 Comments 4 4 Comments reply pC commented Jun 22, 2016 reply Follow flag Why D is false ? 0 0 replyShare viv696 commented Jun 22, 2016 reply Follow flag the subsets {a} and {b} are not comparable 1 1 replyShare pC commented Jun 22, 2016 reply Follow flag Answer not clear . LUB of ( {a} , {b} ) is phi GLB of ({a},{b} ) is ({a,b}) LUB and GLB exists for every pair of elements and so Total Order Relation . Where am I wrong ? What point I;m missing ? 0 0 replyShare viv696 commented Jun 22, 2016 reply Follow flag http://mathworld.wolfram.com/TotallyOrderedSet.html 1 1 replyShare Please log in or register to add a comment.
1 1 vote Since Above set with relation R is lattice and it will be lattice only when it will be join semi and meet semi lattice both exist . But it is not Totally order because Hasse Diagram of it will not be like chain. Paras Nath answered Sep 21, 2016 Paras Nath comment Share Follow 0 reply Please log in or register to add a comment.
