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math.CT2026
Three results on extension dimensions of syzygy module categories
Pei Luo, Zhongkui Liu
This paper establishes three main results on the extension dimension of syzygy module categories:(1)we prove that excellent ring extensions preserve extension dimensions of syzygy…
math.CT2025
The extension dimension of group graded rings
Pei Luo, Zhongkui Liu
In this paper, we introduce the concept of graded extension dimension for a group graded ring R, denoted by gr.ext.dim(R). We prove that when R is strongly graded, its graded exten…
math.CT2014
Cartan-Eilenberg complexes and Auslander categories
Wei Ren, Zhongkui Liu
Let be a commutative noetherian ring with a semi-dualizing module . The Auslander categories with respect to are related through Foxby equivalence: $\xymatrix@C=50pt{\ma…