1. A person took an oath that he will not purchase a certain item. Thereafter he asked someone to purchase it for him. If that person purchases it, his oath will not break. Similarly, a person took an oath that he will not sell a certain item of his. Thereafter, he asked someone to sell it for him. If that person sells it, his oath will not break. The same rule will apply to rental transactions. If he took an oath that he will not rent a particular house, and thereafter took it on rent through someone else, his oath will not break.
However, if he intended that he will not do these things himself nor will he ask someone else, then by someone else doing these things on his behalf, his oath will break. In other words, the rules will apply according to the intention that he makes. However, if the person is one who does not carry out such transactions himself, or if a woman is in purdah and does not carry out such transactions herself and they are used to relegating such tasks to orders, then in such a case even if someone else does the buying and selling on their behalf, their oaths will break.
2. A person took an oath that he will not beat his child. Thereafter, he ordered someone else to beat him. His oath will not break.