Work

Homological aspects of n-trivial extensions of rings

Year: 2026

Type: article

Abstract: Let [Formula: see text] be the [Formula: see text]-trivial extension of a ring [Formula: see text] by an [Formula: see text]-bimodule [Formula: see text]. We first characterize projective, injective, flat and finitely generated modules over [Formula: see text]. Then we describe when the ring [Formula: see text] is left perfect (Noetherian, coherent, Artinian, hereditary, Kasch). Finally, we establish some homological formulas of [Formula: see text]-trivial extensions of rings.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498828500685

Author: Lixin Mao

Institution: Nanjing Institute of Technology

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G45750338