訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) P. M. Cohn, Free rings and their relations, Academic Press, 1971. 2) K. Kishimoto, On abelian extensions of rings I, Math. J. Okayama Univ., 14 (1970), 159-174. 3) K. Kishimoto, On abelian extensions of rings II, Math. J. Okayama Univ., 15 (1971), 57-70. 4) Y. Miyashita, Finite outer Galois theory of non commutative rings, J. Fac. Sci. Hokkaido Univ., Ser. I, 19 (1966), 114-134. 5) Y. Miyashita, On Galois extensions and crossed products, J. Fac. Sci. Hokkaido Univ., Ser. I, 21 (1970), 97-121. 6) Y. Miyashita, Commutative Frobenius algebras generated by a single element, J. Fac. Sci., Hokkaido Univ., Ser. I, 21 (1971), 166-176. 7) Y. Miyashita, Note on an ideal of a positively filtered ring over a commutative ring, Math. J. Okayama Univ., 19 (1976), 61-63. 8) Y. Miyashita, Non-singular bilinear maps which come from some positively filtered rings, J. Math. Soc. Japan, 30 (1978), 7-14. 9) T. Nagahara, On separable polynomials over a commutative ring III, Math. J. Okayama Univ., 16 (1974), 189-197. 10) T. Nagahara, On separable polynomials of degree 2 in skew polynomial rings, Math. J. Okayama Univ., 19 (1976), 65-95.
Right : [1] P. M. Cohn, Free rings and their relations, Academic Press, 1971. [2] K. Kishimoto, On abelian extensions of rings I, Math. J. Okayama Univ., 14 (1970), 159-174. [3] K. Kishimoto, On abelian extensions of rings II, Math. J. Okayama Univ., 15 (1971), 57-70. [4] Y. Miyashita, Finite outer Galois theory of non commutative rings, J. Fac. Sci. Hokkaido Univ., Ser. I, 19 (1966), 114-134. [5] Y. Miyashita, On Galois extensions and crossed products, J. Fac. Sci. Hokkaido Univ., Ser. I, 21 (1970), 97-121. [6] Y. Miyashita, Commutative Frobenius algebras generated by a single element, J. Fac. Sci., Hokkaido Univ., Ser. I, 21 (1971), 166-176. [7] Y. Miyashita, Note on an ideal of a positively filtered ring over a commutative ring, Math. J. Okayama Univ., 19 (1976), 61-63. [8] Y. Miyashita, Non-singular bilinear maps which come from some positively filtered rings, J. Math. Soc. Japan, 30 (1978), 7-14. [9] T. Nagahara, On separable polynomials over a commutative ring III, Math. J. Okayama Univ., 16 (1974), 189-197. [10] T. Nagahara, On separable polynomials of degree 2 in skew polynomial rings, Math. J. Okayama Univ., 19 (1976), 65-95.