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\(p\)-bases of inseparable field extensions. (English) Zbl 0256.12101


MSC:

12F15 Inseparable field extensions
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References:

[1] R.Gilmer, W.Heinzer and H.Kreimer, On the existence of exceptional field extensions. Unpublished notes. · Zbl 0168.29202
[2] R. Gilmer andW. Heinzer, On the existence of exceptional field extensions. Bull. Amer. Math. Soc.74, 545-547 (1968). · Zbl 0168.29202 · doi:10.1090/S0002-9904-1968-12002-6
[3] J. Mordeson andB. Vinograde, Note on relativep-bases of purely inseparable extensions. Proc. Amer. Math. Soc.22, 587-590 (1969). · Zbl 0177.30101
[4] J. Mordeson andB. Vinograde, Exponents and intermediate fields of purely inseparable extensions. J. Algebra17, 238-243 (1971). · Zbl 0213.32101 · doi:10.1016/0021-8693(71)90031-7
[5] J.Mordeson and B.Vinograde, Structure of arbitrary purely inseparable extension fields. Lecture Notes in Math.173, Berlin-New York 1970. · Zbl 0208.30402
[6] J. Mordeson andB. Vinograde, On high order derivations of fields. Proc. Amer. Math. Soc.32, 421-422 (1972). · Zbl 0222.12103 · doi:10.1090/S0002-9939-1972-0289466-0
[7] J. Reid, A note on inseparability. Michigan Math. J.13, 219-223 (1966). · Zbl 0144.03602 · doi:10.1307/mmj/1028999547
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