children and grandchildren; posterity; descendants
「孫子」 has another reading with different meanings.
孫子のために貯金する。
I save money for my descendants.
私たちは孫子の代まで平和な世界を願う。
We wish for a peaceful world for our descendants' generations.
その職人は孫子に代々受け継がれる伝統の技を教え伝えた。
The craftsman taught and passed on the traditional skills, inherited through generations, to their descendants.