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- W87459033 abstract "If R is an integral domain and A is an R-algebra, then A has the Laurent cancellation property over R if (A^{[pm n]}mathop{cong}_{R}B^{[pm n]}) implies A ≅ R B (n ≥ 0 and B an R-algebra). Here, A [±n] denotes the ring of Laurent polynomials in n variables over A. Our main result (Theorem 4.1) is that, if R is a field and the transcendence degree of A over R is one, then A has the Laurent cancellation property over R. Two additional cases of Laurent cancellation are given in Theorem 5.1" @default.
- W87459033 created "2016-06-24" @default.
- W87459033 creator A5047067522 @default.
- W87459033 date "2014-01-01" @default.
- W87459033 modified "2023-09-26" @default.
- W87459033 title "Laurent Cancellation for Rings of Transcendence Degree One Over a Field" @default.
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- W87459033 doi "https://doi.org/10.1007/978-3-319-05681-4_18" @default.
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