訂正日: 2006/08/29訂正理由: -訂正箇所: 引用文献情報訂正内容: Right : [1] Y. Akizuki and M. Nagata, Kindai Daisugaku (modern algebra), (In Japanese) Kyoritsu, 1957. [2] M. Auslander and D. A. Buchsbaum, Homological dimension in Noetherian rings, Proc. Nat. Acad. U. S. A., 42 (1956), 36-38. [3] S. Eilenberg, A. Rosenberg and D. Zelinsky, On the dimension of modules and algebras VIII, Nagoya Math. J., 12 (1957), 71-94. [4] W. Krull, Ideal theorie, Erg. d. Math., 1955. [5] M. Nagata, On the derived normal rings of Noetherian integral domains, Mem. Coll. Sci, Univ. Kyoto, Ser. A, Math., 29 (1955), 293-303. [6] M. Nagata, The theory of mutiplicity in general local rings, Proc. Intern. Symp. Tokyo (1955), 191-226. [7] M. Nagata, A general theory of algebraic geometry over Dedekind domains, Amer. J. of Math., 78 (1956), 78-116. [8] D. G. Northcott, Ideal theory, Cambridge Tracts, 1953. [9] D. G. Northcott, A note on polynomial rings, J. London Math., 33 (1958), 36-39. [10] J. P. Serre, Sur la dimension homologique des anneaux et des modules noetheriens, Proc. Intern. Symp. Tokyo, 1955, 175-190. [11] I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc., 59 (1946), 54-106. [12] I.S. Cohen, Commutative rings with restricted minimum condition, Duke Math. J., 17 (1950), 27-42.