 For volume 1, the first German edition was published in 1930, the second in 1937 (with the axiom of choice removed), the third in 1951 (with the axiom of choice reinstated, and with more on valuations).The fourth edition appeared in 1955 (with the title changed to "Algebra"), the fifth in 1960, the sixth in 1964, the seventh in 1966, the eighth in 1971, the ninth in 1993.For volume 2, the first edition was published in 1931, the second in 1940, the third in 1955 (with the title changed to "Algebra"), the fourth in 1959 (extensively rewritten, with elimination theory replaced by algebraic functions of 1 variable), the fifth in 1967, and the sixth in 1993.