Uniqueness of Subfields
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 191-196
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Let L be a finitely generated field extension of a field K. The order of inseparability of L/K is the minimum of {n|[L:S] = pn where S is a separable extension of K}. If V is a subfield of L/K, then its order of inseparability is less than or equal to that of L/K. This paper examines the question of when there are unique minimal subfields of order of inseparability n — j, 0 ≤ j ≤ n.
Deveney, James K.; Mordeson, John N. Uniqueness of Subfields. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 191-196. doi: 10.4153/CMB-1986-031-5
@article{10_4153_CMB_1986_031_5,
author = {Deveney, James K. and Mordeson, John N.},
title = {Uniqueness of {Subfields}},
journal = {Canadian mathematical bulletin},
pages = {191--196},
year = {1986},
volume = {29},
number = {2},
doi = {10.4153/CMB-1986-031-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-031-5/}
}
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