0 votes 0 votes Is this a distributive lattice???? Set Theory & Algebra group-theory + – bad_engineer asked Dec 27, 2016 bad_engineer 400 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes Since necessary condition for distributive lattice is every element having atmost one complement but here d having two complement as c & f hence it is not distributive lattice Prateek Yadav 2 answered Dec 27, 2016 Prateek Yadav 2 comment Share Follow See all 3 Comments See all 3 3 Comments reply bad_engineer commented Dec 27, 2016 reply Follow Share Yup I also think the same way but Testbook test series say its a distributive lattice 1 votes 1 votes dd commented Dec 27, 2016 reply Follow Share @bad_engineer yes not distributive 0 votes 0 votes Surajit commented Dec 29, 2016 reply Follow Share I understood the complement part, but how to find triples of elements which violates distributive law?If I take suppose b,f and e. b ^ (f v e) should be (b ^ f) v (b ^ e) . b ^ (f v e) = b ^ f = e that is same as (b ^ f) v (b ^ e) = e ^ e = e. Am I doing something wrong here? 0 votes 0 votes Please log in or register to add a comment.