A note on the quotient field of the domain 𝐷[[𝑋]]

Gilbert, Robert

doi:10.1090/S0002-9939-1967-0217060-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A note on the quotient field of the domain $D[[X]]$
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by Robert Gilbert

Proc. Amer. Math. Soc. 18 (1967), 1138-1140

DOI: https://doi.org/10.1090/S0002-9939-1967-0217060-4

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References

Nathan Jacobson, Lectures in abstract algebra. Vol III: Theory of fields and Galois theory, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York, 1964. MR 0172871, DOI 10.1007/978-1-4612-9872-4
Paul Jaffard, Théorie de la dimension dans les anneaux de polynomes, Mémor. Sci. Math., Fasc. 146, Gauthier-Villars, Paris, 1960 (French). MR 0117256