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Suppose that I have a Transaction A. (txA) I send my txA to bitcoin network and full node validate it and put in Mempool and starts to broadcasting it.

A Miner A connect to a fullnode to create a candidate block and wins the POW. In this block there is my txA

A miners B create another block with all different transactions except to my txA.

If block A and block B have the same previous block Hash it's a fork,and if the chain of block A wins, all transaction of block B return to mempool.

But if B Has the previous block hash of A ? After create a block there is another check of all transactions? When TxA is in mempool it's unconfirmed when become confirmed?

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It can only exist in one block. That is why it is safer to wait for 2-6 confirmations before accepting a large transaction.

So to answer the title of your post - a miner can't include a transaction which exists on another block in the same chain since it would not be a valid block.

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  • thanks, who check these blocks for 2-6 confirmations?
    – monkeyUser
    Commented Feb 14, 2019 at 20:51
  • @monkeyUser: the anxious recipient
    – RedGrittyBrick
    Commented Feb 15, 2019 at 11:07
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    @monkeyUser It's up to the person receiving the Bitcoin to check the number of confirmations. If you own a Lamborghini dealership an a customer pays with BTC, after 1 confirmation you let the customer drive off. The chain re-organizes and that BTC is no longer valid, and you don't have the money in your account. You should have waited for 6 confirmations before letting the customer drive off!
    – Zelgada
    Commented Feb 15, 2019 at 21:12

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