GATE CSE
First time here? Checkout the FAQ!
x
+3 votes
106 views

A. Not a Lattice
B. Lattice but not a complemented Lattice
C. A complemented Lattice
D. A Boolean Algebra

asked in Set Theory & Algebra by Veteran (14.6k points)   | 106 views
is it D) boolean algebra
given answer B
Its a chain. Chain doesnt have a complement. So, answer B
@Sushant
Can you please make hasse diagram?

1 Answer

+3 votes
Best answer

I, myself is getting following hasse diagram, please let me know if it's correct? it's lattice but not complemented lattice

answered by Veteran (14.6k points)  
selected by
Perfect.
why not complmened lattice? @vijay
LUB of 0,1 and 1,0 is 1,0
GLB of 0,1 and 1,0 is 0,1
@anusha

I mean complement of 1,0?
@Vijay Thakur  No need to show arrows. Its one way relation for POSET. In fact we never show arrows in Hasse diag.


Top Users May 2017
  1. akash.dinkar12

    3598 Points

  2. pawan kumarln

    2314 Points

  3. Bikram

    1958 Points

  4. Arjun

    1952 Points

  5. sh!va

    1682 Points

  6. Debashish Deka

    1296 Points

  7. Devshree Dubey

    1282 Points

  8. Arunav Khare

    1122 Points

  9. Angkit

    1072 Points

  10. Arnab Bhadra

    1032 Points

Monthly Topper: Rs. 500 gift card
Top Users 2017 May 29 - Jun 04
  1. Arjun

    302 Points

  2. Arunav Khare

    246 Points

  3. Arnab Bhadra

    128 Points

  4. Rupendra Choudhary

    116 Points

  5. pC

    110 Points


22,912 questions
29,255 answers
65,411 comments
27,750 users