Final answer:
The Atomicity property requires that a transaction is executed to completion. The transaction recovery subsystem of a DBMS is responsible for ensuring this property by either completing all the operations of a transaction or none at all, and rolling back any partially completed transactions in the event of a system failure.
Step-by-step explanation:
The Atomicity property requires that we execute a transaction to completion. It is the responsibility of the transaction recovery subsystem of a Database Management System (DBMS) to ensure that this atomic nature is maintained, even in the face of system failures. Atomicity is one of the four main properties of a transaction, commonly known as ACID properties - Atomicity, Consistency, Isolation, and Durability.
When a system guarantees atomicity, it ensures that either all the operations of a transaction are completed successfully, or none of them are applied at all. If a transaction is interrupted by a system failure, the recovery subsystem within the DBMS must rollback any partially completed transactions to maintain the system's integrity.