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- W2317873810 abstract "Let L/K be a field extension of characteristic p ≠ 0. If L/K is purely inseparable and of bounded exponent, then the property that L has a subbasis over K ( 11 , p. 436) is of significance in the theory of higher derivations ( 11 ) and in the theory of Hopf algebras ( 9; 10 ). In this case, where L/K is of bounded exponent, it has been shown independently in ( 1; 9; 5 ) that L/K having a sub-basis is equivalent to the property that L/K is modular ( 9 , p. 401). Our aim in this paper is to extend and apply these properties for L/K purely inseparable and of unbounded exponent. In Theorem 1, we give several conditions on a p -basis of L which are equivalent to the property that L/K has a sub-basis. In Theorem 2, we give a sequence of implications starting with L/K has a sub-basis." @default.
- W2317873810 created "2016-06-24" @default.
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- W2317873810 date "1969-01-01" @default.
- W2317873810 modified "2023-10-14" @default.
- W2317873810 title "On Purely Inseparable Extensions of Unbounded Exponent" @default.
- W2317873810 doi "https://doi.org/10.4153/cjm-1969-167-1" @default.
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