Some change of rings results on (n, m)-SG modules and (n, m)-SG rings

Kui Hu; Jung Wook Lim; De Chuan Zhou

doi:10.1080/00927872.2020.1754843

Some change of rings results on (n, m)-SG modules and (n, m)-SG rings

Kui Hu, Jung Wook Lim, De Chuan Zhou

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

3 Scopus citations

Abstract

Let (Formula presented.) and (Formula presented.) be fixed integers and R be a ring. We show that R is (n, k)-SG with (Formula presented.) if and only if (Formula presented.) is (Formula presented.) -SG with (Formula presented.) We also give an example of a 2-SG-Dedekind domain which is not an SG-Dedekind domain.

Original language	English
Pages (from-to)	4037-4050
Number of pages	14
Journal	Communications in Algebra
Volume	48
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2020.1754843
State	Published - 1 Sep 2020

Keywords

n-SG-global dimensions
n-SG-injective modules
n-SG-projective module

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10.1080/00927872.2020.1754843

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abstract = "Let (Formula presented.) and (Formula presented.) be fixed integers and R be a ring. We show that R is (n, k)-SG with (Formula presented.) if and only if (Formula presented.) is (Formula presented.) -SG with (Formula presented.) We also give an example of a 2-SG-Dedekind domain which is not an SG-Dedekind domain.",

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AU - Lim, Jung Wook

AU - Zhou, De Chuan

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Y1 - 2020/9/1

N2 - Let (Formula presented.) and (Formula presented.) be fixed integers and R be a ring. We show that R is (n, k)-SG with (Formula presented.) if and only if (Formula presented.) is (Formula presented.) -SG with (Formula presented.) We also give an example of a 2-SG-Dedekind domain which is not an SG-Dedekind domain.

AB - Let (Formula presented.) and (Formula presented.) be fixed integers and R be a ring. We show that R is (n, k)-SG with (Formula presented.) if and only if (Formula presented.) is (Formula presented.) -SG with (Formula presented.) We also give an example of a 2-SG-Dedekind domain which is not an SG-Dedekind domain.

KW - n-SG-global dimensions

KW - n-SG-injective modules

KW - n-SG-projective module

UR - https://www.scopus.com/pages/publications/85085901175

U2 - 10.1080/00927872.2020.1754843

DO - 10.1080/00927872.2020.1754843

M3 - Article

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SN - 0092-7872

VL - 48

SP - 4037

EP - 4050

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Some change of rings results on (n, m)-SG modules and (n, m)-SG rings

Abstract

Keywords

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