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 journalArticlepeer-review

2 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 languageEnglish
Pages (from-to)4037-4050
Number of pages14
JournalCommunications in Algebra
Volume48
Issue number9
DOIs
StatePublished - 1 Sep 2020

Keywords

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

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