Factors of Fields
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 79-83
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Let L be a finitely generated extension of a field k. L is a k-rational factor if there is a field extension K of k such that the total quotient ring of L ꕕk K is a rational (pure transcendental) extension of K. We present examples of non-rational rational factors and explicitly determine both factors.
Deveney, James K.; Yanik, Joe. Factors of Fields. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 79-83. doi: 10.4153/CMB-1990-014-6
@article{10_4153_CMB_1990_014_6,
author = {Deveney, James K. and Yanik, Joe},
title = {Factors of {Fields}},
journal = {Canadian mathematical bulletin},
pages = {79--83},
year = {1990},
volume = {33},
number = {1},
doi = {10.4153/CMB-1990-014-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-014-6/}
}
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