Inverse limits of integral domains arising from iterated Nagata composition

Authors

  • David E. Dobbs
  • Marco Fontana

DOI:

https://doi.org/10.7146/math.scand.a-14312

Abstract

By iterating the type of pullback constructions in which $P^rVD$s arise by Nagata composition, we are led to study a class of inverse limits $A=\underleftarrow{\lim}A_n$ of integral domains indexed by $\boldsymbol N$. After identifying the prime spectrum, the localizations, and the integral closure of $A$, we then characterize when, i.a., such (typically infinite-dimensional) $A$ is a Prüfer domain, Bezout domain, divided domain, or $P^rVD$.

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Published

2001-03-01

How to Cite

Dobbs, D. E., & Fontana, M. (2001). Inverse limits of integral domains arising from iterated Nagata composition. MATHEMATICA SCANDINAVICA, 88(1), 17–40. https://doi.org/10.7146/math.scand.a-14312

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Articles