关键词: (m,n)-投射模, (m,n)-纯遗传环, 纯理想

Abstract: Let m,n be two given positive integers and R be a ring. By introducing the notion of (m,n)-pure hereditary rings, we gave some equivalent characterizations of (m,n)-pure hereditary rings by using the homological method.

Key words: (m,n)-projective module, (m,n)-pure hereditary ring, pure ideal