1. A method of selectively preventing transaction ping-pong in a bidirectional database replication system including (i) a first database and (ii) a second database, the system further including (iii) a first transaction transmitter which sends transactions posted to the first database to the second database for replication in the second database, and (iv) a second transaction transmitter which sends transactions posted to the second database to the first database for replication in the first database only after the transactions are actually posted to the second database, each transaction being one or more transaction steps or transaction operations, the method comprising: (a) detecting all transactions to be posted to the second database that were sent by the first transaction transmitter; and (b) inhibiting the first database from posting selective transactions which were detected as being originally sent by the first transaction transmitter, wherein any transaction sent by the second transaction transmitter is replicated in the first database only after the transaction is actually posted to the second database.