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 |
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Pages (from-to) | 4037-4050 |
Number of pages | 14 |
Journal | Communications in Algebra |
Volume | 48 |
Issue number | 9 |
DOIs | |
State | Published - 1 Sep 2020 |
Keywords
- n-SG-global dimensions
- n-SG-injective modules
- n-SG-projective module