Polynomial extensions of Krull modules

E. Akalan; H. Marubayashi

doi:10.1080/00927872.2023.2181627

Polynomial extensions of Krull modules

E. Akalan
, H. Marubayashi

Division of Algebra and Number Theory

Naruto University of Education

Research output: Contribution to journal › Article › peer-review

Abstract

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 (Formula presented.) is a Krull module over (Formula presented.) in the sense of Costa-Johnson.

Original language	English
Pages (from-to)	3232-3236
Number of pages	5
Journal	Communications in Algebra
Volume	51
Issue number	8
DOIs	https://doi.org/10.1080/00927872.2023.2181627
Publication status	Published - 2023

Keywords

Krull module
polynomial module

Access to Document

10.1080/00927872.2023.2181627

Cite this

@article{e7e9fde9e534489ab687af0afd4a2f88,

title = "Polynomial extensions of Krull modules",

abstract = "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 (Formula presented.) is a Krull module over (Formula presented.) in the sense of Costa-Johnson.",

keywords = "Krull module, polynomial module",

author = "E. Akalan and H. Marubayashi",

note = "Publisher Copyright: {\textcopyright} 2023 Taylor \& Francis Group, LLC.",

year = "2023",

doi = "10.1080/00927872.2023.2181627",

language = "English",

volume = "51",

pages = "3232--3236",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "8",

}

TY - JOUR

T1 - Polynomial extensions of Krull modules

AU - Akalan, E.

AU - Marubayashi, H.

PY - 2023

Y1 - 2023

N2 - 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 (Formula presented.) is a Krull module over (Formula presented.) in the sense of Costa-Johnson.

AB - 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 (Formula presented.) is a Krull module over (Formula presented.) in the sense of Costa-Johnson.

KW - Krull module

KW - polynomial module

UR - https://www.scopus.com/pages/publications/85149310935

U2 - 10.1080/00927872.2023.2181627

DO - 10.1080/00927872.2023.2181627

M3 - Article

AN - SCOPUS:85149310935

SN - 0092-7872

VL - 51

SP - 3232

EP - 3236

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

Polynomial extensions of Krull modules

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this