Doesn’t Linearizability implies Serializability?

Serializability is a concurrency scheme where the concurrent transaction is equivalent to one that executes the transactions serially.

In Linearizability, Once write completes, all later reads should return value of that write or value of later write. Once read returns particular value, all later reads should return that value or value of later write.

What is the main difference between Linearizability and Serializability?