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Going-down underrings
Published online by Cambridge University Press: 17 April 2009
Extract
Let R be an integral domain with quotient field K. Ten conditions equivalent to “Either R is algebraic over ℤ or t.d.(R/Fp) ≤ 1 for some p” are given. One of these conditions, referred to in the title, is “Each extension of subrings of R having quotient field K satisfies the going-down property.” As consequences, other classes of rings are also characterised.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 503 - 513
- Copyright
- Copyright © Australian Mathematical Society 1987
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