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Piecewise catenarian and going between rings


Brodmann, M (1980). Piecewise catenarian and going between rings. Pacific Journal of Mathematics, 86(2):415-419.

Abstract

The main purpose of this paper is to prove the following
theorem. Let R be a noetherian ring and n a nonnegative
integer. Then R[X1, ••• ,Xn] is a going-between ring (=GB)
iff R is GB and is (n+l)-piecewise catenarian.

Abstract

The main purpose of this paper is to prove the following
theorem. Let R be a noetherian ring and n a nonnegative
integer. Then R[X1, ••• ,Xn] is a going-between ring (=GB)
iff R is GB and is (n+l)-piecewise catenarian.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Going-Between Ring; Integral Extension; Catenarian; Polynomial Ring; Ideal Transforms
Language:English
Date:1980
Deposited On:20 Oct 2009 15:16
Last Modified:05 Apr 2016 13:29
Publisher:Mathematical Sciences Publishers
ISSN:0030-8730
Publisher DOI:https://doi.org/10.2140/pjm.1980.86.415
Official URL:http://projecteuclid.org/euclid.pjm/1102780463
Related URLs:http://www.ams.org/mathscinet-getitem?mr=590553

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