A bitcoin wallet is basically a vault for your private keys. After installation, a bitcoin address will be generated, which you can disclose to your friends in order to carry out a transaction. A Bitcoin address is generated at random and is just a sequence of numbers and letters. You can generate a new bitcoin address for each transaction. All of the confirmed transactions are added to the blockchain.
The private key is used to sign the transactions in order to prove that it has come from its rightful wallet owner. Just like a Bitcoin address, it is also a combination of alphanumerics, but this cannot be disclosed to anyone. To know more about Bitcoin wallets, go here.
To ensure that your bitcoin address has received the funds or just to view the previous transaction history, you can use the Blockchain explorer.
A Bitcoin Blockchain Explorer is a web tool that lets you view information about blocks, different addresses and details on when transactions have taken place.
All you need to do is paste your address into the search box, and the website will display all the transactions taken place linked with that bitcoin address.
You can even search multiple addresses at once. This will display the transaction history of each of those addresses, as well as the overall balance of bitcoins. You can separately view each transaction’s details- date and time, input, output and miner fee.