Transcendence bases for field extensions

James K. DEVENEY; John N. MORDESON

doi:10.2969/jmsj/03440703

James K. DEVENEY, John N. MORDESON

著者情報

ジャーナルフリー

1982 年 34 巻 4 号 p. 703-707

DOI https://doi.org/10.2969/jmsj/03440703

詳細

Published: 1982 Received: 1980/07/29 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
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. Blass, Zariski surfaces, Ph. D, dissertation, The University of Michigan, 1977.
2) J. Deveney, Generalized primitive elements for transcendental field extensions, Pacific J. Math., 68 (1977), 41-45.
3) J. Deveney and J. Mordeson, Subfields and invariants of inseparable field extensions, Canad. J. Math., 29 (1977), 1304-1311.
4) J. Deveney and J. Mordeson, The order of inseparability of fields, Canad. J. Math., 31 (1979), 655-662.
5) J. Deveney and J. Mordeson, Distinguished subfields, Trans. Amer. Math. Soc., (to appear).
6) J. Deveney and J. Mordeson, Calculating invariants of inseparable field extensions, (to appear).
7) J. Deveney and J. Mordeson, Distinguished subfields of intermediate fields, preprint.
8) J. Dieudonné, Sur les extensions transcendantes séparables, Summa Brasil. Math., 2 (1947), 1-20.
9) N. Heerema, p-th power of distinguished subfields, Proc. Amer. Math. Soc., 55 (1976), 287-292.
10) T. Kambayashi and M. Miyanishi, On forms of the affine line over a field, Lectures in Math., Dept. of Math. Kyoto Univ., 10, Kinokuniya, Tokyo, Japan, 1977.
11) H. Kraft, Inseparable Körpererweiterungen, Comment. Math. Helv., 45 (1970), 110-118.
12) T. Moh and W. Heinzer, A generalized Luroth theorem for curves, J. Math. Soc. Japan, 31 (1979), 85-86.
13) T. Moh and W. Heinzer, On the Luroth semigroup and Weierstrass canonical divisors, preprint.
14) J. Mordeson, Splitting of field extensions, Arch. Math. (Basel), 26 (1975), 606-610.
15) J. Mordeson and B. Vinograde, Separating p-bases and transcendental extension fields, Proc. Amer. Math. Soc., 31 (1972), 417-422.
16) J. Mordeson and B. Vinograde, Inseparable embeddings of separable transcendental extensions, Arch. Math. (Basel), 27 (1976), 42-47.
17) P. Roquette, Isomorphisms of generic splitting fields of simple algebras, J. Reine Angew. Math., 214/215 (1963), 207-226.
18) A. Rudakov and I. Safarevic, Inseparable morphisms of algebraic surfaces, Math. USSR-Izv., 10 (1976), 1205-1237.
19) A. Weil, Foundations of algebraic geometry, Amer. Math. Soc. Colloq. Publ., 29, Amer. Math. Soc., Providence, R.I., 1946.

Right : [1] P. Blass, Zariski surfaces, Ph. D, dissertation, The University of Michigan, 1977.
[2] J. Deveney, Generalized primitive elements for transcendental field extensions, Pacific J. Math., 68 (1977), 41-45.
[3] J. Deveney and J. Mordeson, Subfields and invariants of inseparable field extensions, Canad. J. Math., 29 (1977), 1304-1311.
[4] J. Deveney and J. Mordeson, The order of inseparability of fields, Canad. J. Math., 31 (1979), 655-662.
[5] J. Deveney and J. Mordeson, Distinguished subfields, Trans. Amer. Math. Soc., (to appear).
[6] J. Deveney and J. Mordeson, Calculating invariants of inseparable field extensions, (to appear).
[7] J. Deveney and J. Mordeson, Distinguished subfields of intermediate fields, preprint.
[8] J. Dieudonné, Sur les extensions transcendantes séparables, Summa Brasil. Math., 2 (1947), 1-20.
[9] N. Heerema, p-th power of distinguished subfields, Proc. Amer. Math. Soc., 55 (1976), 287-292.
[10] T. Kambayashi and M. Miyanishi, On forms of the affine line over a field, Lectures in Math., Dept. of Math. Kyoto Univ., 10, Kinokuniya, Tokyo, Japan, 1977.
[11] H. Kraft, Inseparable Körpererweiterungen, Comment. Math. Helv., 45 (1970), 110-118.
[12] T. Moh and W. Heinzer, A generalized Luroth theorem for curves, J. Math. Soc. Japan, 31 (1979), 85-86.
[13] T. Moh and W. Heinzer, On the Luroth semigroup and Weierstrass canonical divisors, preprint.
[14] J. Mordeson, Splitting of field extensions, Arch. Math. (Basel), 26 (1975), 606-610.
[15] J. Mordeson and B. Vinograde, Separating p-bases and transcendental extension fields, Proc. Amer. Math. Soc., 31 (1972), 417-422.
[16] J. Mordeson and B. Vinograde, Inseparable embeddings of separable transcendental extensions, Arch. Math. (Basel), 27 (1976), 42-47.
[17] P. Roquette, Isomorphisms of generic splitting fields of simple algebras, J. Reine Angew. Math., 214/215 (1963), 207-226.
[18] A. Rudakov and I. Safarevic, Inseparable morphisms of algebraic surfaces, Math. USSR-Izv., 10 (1976), 1205-1237.
[19] A. Weil, Foundations of algebraic geometry, Amer. Math. Soc. Colloq. Publ., 29, Amer. Math. Soc., Providence, R. I., 1946.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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