ACCP in Polynomial Rings: A Counterexample

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 1994Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 121, page 975 (issn: 0002-9939,

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Authors: Heinzer, William J.; Lantz, David C.;

doi: 10.2307/2160301 , 10.1090/s0002-9939-1994-1232140-9

ACCP in Polynomial Rings: A Counterexample

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Abstract

We describe an example showing that ACCP need not extend from a ring to a polynomial ring over it.

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Purdue University System
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Purdue University West Lafayette
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Colgate University
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Keywords

Polynomial rings and ideals; rings of integer-valued polynomials, polynomial ring, ascending chain condition, Chain conditions, finiteness conditions in commutative ring theory, principal ideals

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