2 votes 2 votes Is there any example of lattice which is not bounded ?? phprashanthans asked Jul 13, 2017 phprashanthans 738 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes [ N, ≤ ] I think, this is neither a finite lattice nor a bounded lattice! Manu Thakur answered Jul 13, 2017 • selected Nov 17, 2017 by phprashanthans Manu Thakur comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes consider the lattice, L={(a,b)| b/a=2k} k={0,1,2,3,4.....} and (a,b) ϵ Z+ it hasse diagram will be infinite length chain, hence unbounded.. joshi_nitish answered Jul 13, 2017 joshi_nitish comment Share Follow See all 2 Comments See all 2 2 Comments reply Kaluti commented Jul 16, 2017 reply Follow Share Z is the set of all integers, and ≤≤ is the usual ordering: ⋯<−3<−2<−1<0<1<2<3<… example of unbounded lattice does not have least and upper bound here 0 votes 0 votes Deepak Poonia commented May 6, 2018 reply Follow Share it hasse diagram will be infinite length chain Not one Chain. But Infinite Parallel Chains, all individually Starting with an Odd number. As a whole, Unbounded! 0 votes 0 votes Please log in or register to add a comment.
