Reference for Arakhin 39:28
חומר בנדרים מבערכין שהנדרים חלין על בהמה חיה ועוף ואין נדונים בהשג יד משא"כ בערכין
If one said: 'I vow my valuation' and then died, his heirs must pay it; [but if he said,] 'I vow my worth' and then died, his heirs need not give anything, for dead persons have no worth [market-value].'
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