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

5 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

Access to Document

10.1080/00927872.2022.2063303

Cite this

@article{b2564d2fa1914804b0e6f4baeba8e878,

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}",

note = "Publisher Copyright: {\textcopyright} 2022 Taylor & Francis Group, LLC.",

year = "2022",

doi = "10.1080/00927872.2022.2063303",

language = "English",

volume = "50",

pages = "4510--4516",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=85132626773&partnerID=8YFLogxK

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

Access to Document

Other files and links

Fingerprint

Cite this