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arXiv · 2511.13255

The extension dimension of group graded rings

Pei Luo·Zhongkui Liu
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Abstract

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 extension dimension coincides with the non-graded extension dimension of both R itself and its degree-zero subring Re. Furthermore, we demonstrate that graded equivalence and graded separable equivalence preserve the extension dimension under appropriate conditions.

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Pei Luo, Zhongkui Liu. 2025-11-17. The extension dimension of group graded rings. https://arxiv.org/abs/2511.13255

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