Work

Certain homological properties of triangular matrix rings

Year: 2024

Type: article

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.

Source: Rendiconti del Seminario Matematico della Università di Padova

DOI: 10.4171/rsmup/169

Authors: Gang Yang, Junpeng Wang

Institutions: Lanzhou Jiaotong University, Northwest Normal University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Lanzhou Jiaotong University

Awards: G2958868709, G3105473069, G6144451872