Finite factorization domains

D. D Anderson; Bernadette Mullins

doi:10.1090/S0002-9939-96-03284-4

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Journal article

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Finite factorization domains

D. D Anderson and Bernadette Mullins

Proceedings of the American Mathematical Society, Vol.124(2), pp.389-396

1996

DOI: 10.1090/S0002-9939-96-03284-4

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Abstract

An integral domain is a finite factorization domain if each nonzero element of has only finitely many divisors, up to associates. We show that a Noetherian domain is an FFD for each overring of that is a finitely generated -module, is finite. For local this is also equivalent to each being finite. We show that a one-dimensional local domain is an FFD either is finite or is a DVR.

Details

Title: Subtitle: Finite factorization domains
Creators: D. D Anderson
Bernadette Mullins
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.124(2), pp.389-396
DOI: 10.1090/S0002-9939-96-03284-4
ISSN: 0002-9939
eISSN: 1088-6826
Language: English
Date published: 1996
Academic Unit: Mathematics
Record Identifier: 9983985703102771

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