The extension dimension of group graded rings
Category Theory
2025-11-18 v1
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.
Keywords
Cite
@article{arxiv.2511.13255,
title = {The extension dimension of group graded rings},
author = {Pei Luo and Zhongkui Liu},
journal= {arXiv preprint arXiv:2511.13255},
year = {2025}
}
Comments
12pages,submit to International Journal of Algebra and Computation