It is called Hoshi in the Zen Sect, in which they claim that it was Daruma who was the twenty-eighth founder of fuhozo (those who, after Shakyamuni Buddha's death, successively inherited the lineage of his teachings and propagated them in India) that succeeded the Kyogai betsuden teaching (transmission of spiritual awakening without words or characters, but in a heart-to-heart way) from Shakamuni to Makakasho, through intuitive discernment from generation to generation.
禅宗では法嗣といい、釈迦-摩訶迦葉へと伝えられた教外別伝の法を、代々受け継いだ付法蔵の第28祖が達磨であったと主張した。