SG-projective ideals in one dimensional Noetherian domains

Kui Hu; Jung Wook Lim; De Chuan Zhou

doi:10.1080/00927872.2022.2063303

SG-projective ideals in one dimensional Noetherian domains

Kui Hu
, Jung Wook Lim
, De Chuan Zhou

Southwest University of Science and Technology

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

7 Scopus citations

Abstract

In this paper, we show that every SG-projective ideal of a one dimensional Noetherian domain is 2-generated. We also prove that an integral domain is an NWF domain if and only if it is weakly SG-hereditary.

Original language	English
Pages (from-to)	4510-4516
Number of pages	7
Journal	Communications in Algebra
Volume	50
Issue number	10
DOIs	https://doi.org/10.1080/00927872.2022.2063303
State	Published - 2022

Keywords

NWF domains
SG-projective modules
weakly SG-hereditary domains

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10.1080/00927872.2022.2063303

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title = " SG-projective ideals in one dimensional Noetherian domains",

abstract = "In this paper, we show that every SG-projective ideal of a one dimensional Noetherian domain is 2-generated. We also prove that an integral domain is an NWF domain if and only if it is weakly SG-hereditary.",

keywords = "NWF domains, SG-projective modules, weakly SG-hereditary domains",

author = "Kui Hu and Lim, \{Jung Wook\} and Zhou, \{De Chuan\}",

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year = "2022",

doi = "10.1080/00927872.2022.2063303",

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T1 - SG-projective ideals in one dimensional Noetherian domains

AU - Hu, Kui

AU - Lim, Jung Wook

AU - Zhou, De Chuan

PY - 2022

Y1 - 2022

N2 - In this paper, we show that every SG-projective ideal of a one dimensional Noetherian domain is 2-generated. We also prove that an integral domain is an NWF domain if and only if it is weakly SG-hereditary.

AB - In this paper, we show that every SG-projective ideal of a one dimensional Noetherian domain is 2-generated. We also prove that an integral domain is an NWF domain if and only if it is weakly SG-hereditary.

KW - NWF domains

KW - SG-projective modules

KW - weakly SG-hereditary domains

UR - https://www.scopus.com/pages/publications/85132626773

U2 - 10.1080/00927872.2022.2063303

DO - 10.1080/00927872.2022.2063303

M3 - Article

AN - SCOPUS:85132626773

SN - 0092-7872

VL - 50

SP - 4510

EP - 4516

JO - Communications in Algebra

JF - Communications in Algebra

IS - 10

ER -

SG-projective ideals in one dimensional Noetherian domains

Abstract

Keywords

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