Recent questions tagged lattice

5 5 votes
3 answers 3 answers
4.6k
4.6k views
What are the complement pairs for the following lattice?
123 123 votes
8 answers 8 answers
30.7k
30.7k views
Suppose $L = \left\{ p, q, r, s, t\right\}$ is a lattice represented by the following Hasse diagram:For any $x, y \in L$, not necessarily distinct , $x \vee y$ and $x \we...
3 3 votes
1 answers 1 answer
644
644 views
47 47 votes
10 answers 10 answers
24.6k
24.6k views
Consider the following Hasse diagrams. Which all of the above represent a lattice?(i) and (iv) only(ii) and (iii) only(iii) only(i), (ii) and (iv) only
27 27 votes
9 answers 9 answers
9.5k
9.5k views
The Hasse diagrams of all the lattices with up to four elements are ________ (write all the relevant Hasse diagrams)
31 31 votes
5 answers 5 answers
13.5k
13.5k views
In the lattice defined by the Hasse diagram given in following figure, how many complements does the element ‘$e$’ have?$2$$3$$0$$1$
31 31 votes
7 answers 7 answers
17.3k
17.3k views
The following is the Hasse diagram of the poset $\left[\{a,b,c,d,e\},≺\right]$The poset is :not a latticea lattice but not a distributive latticea distributive lattice bu...
24 24 votes
2 answers 2 answers
5.6k
5.6k views
$S=\{(1,2), (2,1)\}$ is binary relation on set $A = \{1,2,3\}$. Is it irreflexive? Add the minimum number of ordered pairs to S to make it an equivalence relation. Give t...