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

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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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