Consider the following statements: select the TRUE statements
Consider the following statements: select the TRUE statements
Answer: A. A finite lattice is always bounded; B. A bounded and complemented lattice may or may not be distributive lattice; C. Complemented lattice is a proper subset of bounded lattice — A: a lattice is bounded iff the lattice has a greatest and a least element and a finite lattice is always bounded B: A complemented lattice is distributive if…
- A.
A finite lattice is always bounded
- B.
A bounded and complemented lattice may or may not be distributive lattice
- C.
Complemented lattice is a proper subset of bounded lattice
- D.
None of these
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Correct answer: A, B, C
A: a lattice is bounded iff the lattice has a greatest and a least element and a finite lattice is always bounded
B: A complemented lattice is distributive if every element has a unique complement
C: Complemented lattice is defined only for bounded lattice. A bounded lattice is complemented iff atleast one complement of every element exist in lattice. An element should one or more complements.