L. Mao

activity

20192026

most citedDing modules and dimensions over formal triangular matrix rings

2 citations · 3 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.RA2026

Gorenstein homological properties of n-trivial extensions of rings

Lixin Mao

We explicitly investigate Gorenstein projective, injective and flat modules over the $n$ -trivial extension $R ⋉_{n} M$ of a ring $R$ by an $R$ -bimodule $M$ . Assume that $fd(M^{…

math.RA2026

Homological aspects of n-trivial extensions of rings

Lixin Mao

Let $R ⋉_{n} M$ be the $n$ -trivial extension of a ring $R$ by an $R$ -bimodule $M$ . We first characterize projective, injective, flat and finitely generated modules over $R\ltim…

math.RA2023★ 1 cited

Gorenstein projective, injective and flat modules over trivial ring extensions

Lixin Mao

We introduce the concepts of generalized compatible and cocompatible bimodules in order to characterize Gorenstein projective, injective and flat modules over trivial ring extensio…

math.RA2019★ 2 cited

Ding modules and dimensions over formal triangular matrix rings

Lixin Mao

Let $T = (A U 0 B)$ be a formal triangular matrix ring, where $A$ and $B$ are rings and $U$ is a $(B, A)$ -bimodule. We prove that: (1) If $U…