Semi-dualizing modules and related Gorenstein homological dimensions |
| |
| Authors: | Henrik Holm Peter Jørgensen |
| |
| Institution: | a Department of Mathematical Sciences, University of Aarhus, Ny MunKegade, Building 530, DK-8000 Aarhus C, Denmark
b Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK |
| |
| Abstract: | A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHomA(C,C)?A in the derived category D(A).We show how each such module gives rise to three new homological dimensions which we call C-Gorenstein projective, C-Gorenstein injective, and C-Gorenstein flat dimension, and investigate the properties of these dimensions. |
| |
| Keywords: | 13D05 13D07 13D25 18G10 18G25 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
