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- W2429355691 abstract "In this paper we investigate the topological localizations of Lie-complete rings. It has been proved that a topological localization of a Lie-complete ring is commutative modulo its topological nilradical. Based on the topological localizations we define a noncommutative affine scheme X = Spf(A) for a Lie-complete ring A. The main result of the paper asserts that the topological localization A(f) of A at f ∈ A is embedded into the ring 𝒪A(Xf) of all sections of the structure sheaf 𝒪A on the principal open set Xf as a dense subring with respect to the weak I1-adic topology, where I1 is the two-sided ideal generated by all commutators in A. The equality A(f) = 𝒪A(Xf) can only be achieved in the case of an NC-complete ring A." @default.
- W2429355691 created "2016-06-24" @default.
- W2429355691 creator A5013628814 @default.
- W2429355691 date "2016-06-16" @default.
- W2429355691 modified "2023-10-18" @default.
- W2429355691 title "Noncommutative Localizations of Lie-Complete Rings" @default.
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- W2429355691 doi "https://doi.org/10.1080/00927872.2015.1130135" @default.
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