# What is chain in lattice?

**lattice**is known as one of its

**chains**. If a

**chain**of

**lattice**is not included in any other

**chains**, then the

**chain**is defined as a maximum

**chain**.

Similarly, it is asked, what is lattice with example?

For **example**, the set {0, ½, 1} with its usual ordering is a bounded **lattice**, and ½ does not have a complement. A bounded **lattice** for which every element has a complement is called a complemented **lattice**. A complemented **lattice** that is also distributive is a Boolean algebra.

Also Know, what is chain and Antichain? A **chain** is a totally ordered subset of a poset S; an **antichain** is a subset of a poset S in which any two distinct elements are incomparable. A maximal **chain** (**antichain**) is one that is not a proper subset of another **chain** (**antichain**).

In this manner, what is lattice in Hasse diagram?

**Lattices** – A Poset in which every pair of elements has both, a least upper bound and a greatest. lower bound is called a **lattice**. There are two binary operations defined for **lattices** – Join – The join of two elements is their least upper bound.

What is a bounded lattice?

Noun. **bounded lattice** (plural **bounded lattices**) (algebra, order theory) Any **lattice** (type of partially ordered set) that has both a greatest and a least element.