The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
0 votes

Is this a distributive lattice????

asked in Set Theory & Algebra by Active (4.6k points) | 82 views

1 Answer

+1 vote
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
answered by (309 points)
Yup I also think the same way  but Testbook test series say its a distributive lattice

@bad_engineer yes not distributive

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?

Related questions

+1 vote
0 answers
asked Nov 2, 2017 in Set Theory & Algebra by rohit vishkarma Junior (989 points) | 67 views
0 votes
0 answers
asked Jan 11 in Set Theory & Algebra by Ajay Maurya 6 (213 points) | 96 views
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
48,719 questions
52,807 answers
68,470 users