Polynomial extensions of Krull modules

Let M be a torsion-free module over an integral domain D with quotient field K. In this paper, we show that M is a Krull module over D in the sense of Costa-Johnson (Inert extensions of Krull domains, 1976) if and only if the polynomial module is a Krull module over in the sense of Costa-Johnson.

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Bibliographic Details
Published in:	Communications in algebra Vol. 51; no. 8; pp. 3232 - 3236
Main Authors:	Akalan, E., Marubayashi, H.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 03.08.2023 Taylor & Francis Ltd
Subjects:	Domains Krull module Modules polynomial module Polynomials
ISSN:	0092-7872, 1532-4125
Online Access:	Get full text
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Summary:	Let M be a torsion-free module over an integral domain D with quotient field K. In this paper, we show that M is a Krull module over D in the sense of Costa-Johnson (Inert extensions of Krull domains, 1976) if and only if the polynomial module is a Krull module over in the sense of Costa-Johnson.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2023.2181627