פירוש על קידושין 44:19

According to halakhah, a convert who does not have offspring, has no heirs because when he converts, he cuts off ties with his former family. Thus, the issue at stake here is when R. Judah dies, who inherits his slave. Has Mar Zutra has acquired the slave by having the slave take the shoes to his house?
According to the first opinion, he has. The slave has acted as a slave for Mar Zutra, and therefore, when R. Judah dies, Mar Zutra becomes the slave’s owner.