3 votes 3 votes I am getting 3 minimal please check it Set Theory & Algebra discrete-mathematics set-theory&algebra lattice zeal zeal2019 + – Prince Sindhiya asked Dec 21, 2018 • edited Mar 7, 2019 by ajaysoni1924 Prince Sindhiya 904 views answer comment Share Follow See all 11 Comments See all 11 11 Comments reply Show 8 previous comments Prince Sindhiya commented Dec 21, 2018 reply Follow Share thanks PRATEEK BHAI 1 votes 1 votes Mayankprakash commented May 27, 2019 reply Follow Share @Satbir how would you check with same method for 1.maximum and minimum 2.GLB and LUB PLEASE suggest 0 votes 0 votes Satbir commented May 27, 2019 reply Follow Share @Mayankprakash find the minimal i.e. i,j,m then see the diagram again which element is at the lowest level among i,j and m ? its m ,...so m is the minimum element. rotate the daigram by 180 and repeat the above step to get the maximum element. NOTE :- if there are 2 or more elemenet at the lowest level then neither of them will be maximum or minimum element because there can be only 1 maximum and 1 minimum element in a poset. GLB(meet) and LUB(join) are done wrt to a subset of the poset. Suppose we take the set {g,h} and then calculate the Join and meet for it. Put a ball at g and another at h and let them roll downwards. what are the points at which they meet ? j and m where they will meet early at j or at m ? j right ? so j will be meet. Flip the daigram and do it for getting join we will get a,d,e,b. but where are they meeting early ? at d or at e so there is not a join possible NOTE:- there is only 1 meet and 1 join for a given subset of the poset. 1 votes 1 votes Please log in or register to add a comment.
1 votes 1 votes 3 is right. abhishekmehta4u answered Mar 7, 2019 abhishekmehta4u comment Share Follow See all 0 reply Please log in or register to add a comment.