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In the context of cryptocurrencies like Bitcoin, a chain of digital signatures refers to the series of digital signatures that are created each time a user transfers a unit of the currency to another user. Each transfer is recorded as a transaction, and the signature of the sender is used to confirm the authenticity of the transfer. Then, the recipient can use their private key to add their own digital signature to the transaction and pass it on to the next user in the chain.

This creates a continuous chain of digital signatures that can be traced all the way back to the first transaction of that unit of currency, providing a complete record of its ownership history. This chain of digital signatures is an essential part of the blockchain technology that underpins cryptocurrencies, as it helps to ensure that all transactions are secure and verified.

It is worth noting that digital signatures can also be used more broadly outside of cryptocurrency, for example in digital documents or email messages, to provide a way of verifying the authenticity and integrity of the information being transmitted.