Abstract
In this paper, we present an easy way to construct partial Galois extensions; in particular, any direct sum of finitely many Galois extensions forms a partial Galois extension. The idea is inspired by the study of how Galois extensions are embedded in a partial Galois extension via minimal elements in an associated Boolean semigroup.
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The first author would like to thank Bradley University for the hospitality while part of this work was carried out.
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Communicated by J. S. Wilson.
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Kuo, JM., Szeto, G. The structure of a partial Galois extension. Monatsh Math 175, 565–576 (2014). https://doi.org/10.1007/s00605-013-0591-1
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DOI: https://doi.org/10.1007/s00605-013-0591-1