Certain homological properties of triangular matrix rings

In this paper, we study the (Gorenstein) flat dimension of modules over triangular matrix rings, and give estimations of the (Gorenstein) weak global dimension and the supremum of flat lengths of injective modules over triangular matrix rings. As applications, some new Ding–Chen rings are constructed.

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Publication Details

Journal
Rendiconti del Seminario Matematico della Università di Padova
Published
2024-08-29
DOI
https://doi.org/10.4171/rsmup/169
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00

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article

Certain homological properties of triangular matrix rings

Junpeng Wang, Gang Yang
Rendiconti del Seminario Matematico della Università di Padova
Rings, Modules, and Algebras
article

Certain homological properties of triangular matrix rings

Junpeng Wang, Gang Yang
article en

Abstract

In this paper, we study the (Gorenstein) flat dimension of modules over triangular matrix rings, and give estimations of the (Gorenstein) weak global dimension and the supremum of flat lengths of injective modules over triangular matrix rings. As applications, some new Ding–Chen rings are constructed.

Rendiconti del Seminario Matematico della Università di PadovaVol. 154
Lanzhou Jiaotong University (CN), Northwest Normal University (CN)
National Science Foundation, National Natural Science Foundation of China, Lanzhou Jiaotong University
Openalex Percentile: Top 73%
Rings, Modules, and Algebras
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