if every two elements of a posets are comparable then the poset is called
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total order.
Step-by-step explanation:
A poset (P, <=) is known as totally ordered if every two elements of the poset are comparable. “<=” is called a total order and a totally ordered set is also termed as a chain.
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totally ordered
- If every two components of a poset are comparable, the poset is said to be completely ordered.
- A total order is also known as a chain, and a finally settle set is also known as a chain.
- A chain is a totally ordered set, and a chain is often a distributive lattice because each member has only one complement.
- If all of a poset's subsets have a join and a meet, it is termed a complete lattice. Every full lattice, in particular, is a limited lattice.
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