Are the keys in asymmetric encriptions mathematically related to one another?

Yes, in asymmetric encryption, the keys are mathematically related; specifically, one key is the public key and the other is the private key. The public key can be used to encrypt data, while the private key is used for decryption. The relationship between the two keys is based on mathematical problems that are easy to compute in one direction but difficult to reverse without the private key, ensuring security in the encryption process.