Does a triple divorce occur if the wife returns a greeting to her male colleague, given that the husband forbade her from visiting her female colleague and swore a triple divorce that if she visits her or does anything he prohibited her from doing, then he justified that his intention was only regarding not visiting her female colleague, and not regarding not returning a greeting? And does a divorce occur if she goes to work in the same directorate as her female colleague without visiting her?

The basis of an oath is the intention of the one swearing it. If the swearer intends a meaning that their oath can bear, then their oath is interpreted according to that intention, whether it aligns with the apparent meaning or contradicts it.

Based on this, if the husband did not intend by his oath the matter of returning the greeting, then his word is to be accepted, and no divorce occurs because the condition on which the divorce was contingent has not been met. The wife's falling into the sworn-against action forgetfully does not make the husband break his oath.

As for going to the friend's residence for work, there is no harm in that, because it is apparent that the husband's intention was to prevent visits, not merely going to the location.

It is important to note that it is not permissible for a woman to travel without a mahram, and her working outside the home is not permissible except under specific legal conditions and regulations.