with prejudice

(Law)extinguishing any right to pursue a claim in another suit

(律)无权另案起诉

without prejudice

(Law)without detriment to any existing right or claim

(律)没有不利，无损于

the payment was made &B{without} any &B{prejudice to} her rights.

这笔款的支付对她的权利没有任何损害。