\(n\)-strongly Gorenstein graded projective modules. (Chinese. English summary) Zbl 1438.16008
Summary: The notion of \(n\)-strongly Gorenstein gr-projective modules is introduced. Some properties of the \(n\)-strongly Gorenstein gr-projective modules are studied, The relationships of \(n\)-strongly Gorenstein gr-projective modules, strongly Gorenstein gr-projective modules and Gorenstein gr-projective modules are obtained, and some equivalent characterizations of \(n\)-strongly Gorenstein gr-projective modules are given.
MSC:
| 16D40 | Free, projective, and flat modules and ideals in associative algebras |
| 16E65 | Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) |
