Commutative rings with identity have ring topologies

Hochster, M.; Kiltinen, J. O.

doi:10.1090/S0002-9904-1970-12495-8

Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Commutative rings with identity have ring topologies
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by M. Hochster and J. O. Kiltinen PDF

Bull. Amer. Math. Soc. 76 (1970), 419-420

References

M. Hochster, Rings with nondiscrete ideal topologies, Proc. Amer. Math. Soc. 21 (1969), 357–362. MR 238831, DOI 10.1090/S0002-9939-1969-0238831-6
M. Hochster, Existence of topologies for commutative rings with identity, Duke Math. J. 38 (1971), 551–554. MR 281759, DOI 10.1215/S0012-7094-71-03867-1
John O. Kiltinen, Inductive ring topologies, Trans. Amer. Math. Soc. 134 (1968), 149–169. MR 228474, DOI 10.1090/S0002-9947-1968-0228474-6