In the way it is written, the commandment applies to both. “And the husband should not divorce his wife…” Is basically an abbreviation for the previous point, the note still applies. Essentially it’s like saying “the same applies for the husband”.

Jesus actually applied it to men:

Matthew 5:31-32

“It was also said, ‘Whoever divorces his wife, let him give her a certificate of divorce.’ But I say to you that everyone who divorces his wife, except on the ground of sexual immorality, makes her commit adultery, and whoever marries a divorced woman commits adultery.

And further on, His full teaching:

Matthew 19:3-9

And Pharisees came up to him and tested him by asking, “Is it lawful to divorce one’s wife for any cause?” He answered, “Have you not read that he who created them from the beginning made them male and female, and said, ‘Therefore a man shall leave his father and his mother and hold fast to his wife, and the two shall become one flesh’? So they are no longer two but one flesh. What therefore God has joined together, let not man separate.” They said to him, “Why then did Moses command one to give a certificate of divorce and to send her away?” He said to them, “Because of your hardness of heart Moses allowed you to divorce your wives, but from the beginning it was not so. And I say to you: whoever divorces his wife, except for sexual immorality, and marries another, commits adultery.”