Question

9.     When can we say that a Lattice is a poset?​

Answer 1

Step-by-step explanation:

A lattice is a poset (��, ��) with two properties: • �� has an upper bound 1 and a lower bound 0; • for any two elements ��,�� ∈ ��, there is a least upper bound and a greatest lower bound of a set {��,��}.

A poset is called a complete lattice if all its subsets have both a join and a meet. In particular, every complete lattice is a bounded lattice.

Answer 2

Answer:

A lattice is a poset (��, ��) with two properties: • �� has an upper bound 1 and a lower bound 0; • for any two elements ��,�� ∈ ��, there is a least upper bound and a greatest lower bound of a set {��,��}.