To inherit or succeed to something (a family business, position, tradition, characteristic); to take over or pass on skills/traditions.
彼は父の仕事を受け継ぐために町へ戻った。
He returned to town to take over his father's business.
伝統を子どもたちに受け継ぐことは重要だ。
Passing traditions on to children is important.
ある病気の傾向を遺伝的に受け継ぐ場合がある。
Sometimes tendencies for certain illnesses are inherited genetically.