What Do You Know About Lattices?
10 Questions
| Total Attempts: 47
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every two elements have a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).
Questions and Answers
- 1.
Lattice is studied in ....?- A.
Mathematics
- B.
English Language
- C.
History
- D.
Philosophy
- 2.
Lattice consists of how many partially ordered set elements ?
- A.
2
- B.
3
- C.
4
- D.
1
- 3.
The ......... is the only defining identity that is peculiar to lattice theory?
- A.
Absorption law
- B.
Law of physics
- C.
Newton law
- D.
Laws of power
- 4.
The algebraic interpretation of lattices plays an essential role in ......?
- A.
Vector space
- B.
Polytopes
- C.
Linear algebra
- D.
Universal algebra
- 5.
What is the smallest crystal lattice?
- A.
Unit cell
- B.
Primitive cell
- C.
Lattice points
- D.
Basis
- 6.
In a bounded lattice the empty join and the empty meet can also be defined as ....?
- A.
1 and 1
- B.
0 and 1
- C.
2 and 1
- D.
0 and 0
- 7.
Lattice has how many definitions?
- A.
Two
- B.
Three
- C.
Four
- D.
Five
- 8.
Continous lattice is a complete lattice that is continuous as a .....?
- A.
Supremum
- B.
Infimum
- C.
Poset
- D.
Monoid
- 9.
A/an ........ is a complete lattice that is algebraic as a poset?
- A.
Heyting algebra
- B.
Boolean algebra
- C.
Algebraic lattice
- D.
Linear lattice
- 10.
In general, some elements of a ........ might not have a complement, and others might have more than one complement?
- A.
Bounded lattice
- B.
Algebraic lattice
- C.
Continuous lattice
- D.
Complete lattice
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