Zhaoyong Huang

collaborators

4 papers

math.RA2004

On $U$ -Dominant Dimension

Zhaoyong Huang

Let $Λ$ and $Γ$ be artin algebras and $_{Λ} U_{Γ}$ a faithfully balanced selforthogonal bimodule. We show that the $U$ -dominant dimensions of $_{Λ} U$ and $U_{Γ}$ are identical. As applicati…

math.RA2004

Syzygy modules for quasi $k$ -Gorenstein rings

Zhaoyong Huang

Let $Λ$ be a quasi $k$ -Gorenstein ring. For each $d$ th syzygy module $M$ in mod $Λ$ (where $0 \leq d \leq k - 1$ ), we obtain an exact sequence $0 \to B \to M ⨁ P \to C \to 0$ …

math.RA2004

$k$ -Gorenstein Modules

Zhaoyong Huang

Let $Λ$ and $Γ$ be artin algebras and $_{Λ} U_{Γ}$ a faithfully balanced selforthogonal bimodule. In this paper, we first introduce the notion of $k$ -Gorenstein modules with respect to…

math.RA2004

Wakamatsu Tilting Modules, $U$ -Dominant Dimension and $k$ -Gorenstein Modules

Zhaoyong Huang

Let $Λ$ and $Γ$ be left and right noetherian rings and $_{Λ} U$ a Wakamatsu tilting module with $Γ = End (_{Λ} T)$ . We introduce a new definition of $U$ -dominant dimensions and show t…

On U-Dominant Dimension

Syzygy modules for quasi k-Gorenstein rings

k-Gorenstein Modules

Wakamatsu Tilting Modules, U-Dominant Dimension and k-Gorenstein Modules

On $U$ -Dominant Dimension

Syzygy modules for quasi $k$ -Gorenstein rings

$k$ -Gorenstein Modules

Wakamatsu Tilting Modules, $U$ -Dominant Dimension and $k$ -Gorenstein Modules