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 871 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.