Xiaojin Zhang

most citedThe Existence of Maximal

n

-Orthogonal Subcategories

13 citations · 28 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.RT2009★ 2 cited

From Auslander Algebras to Tilted Algebras

Zhaoyong Huang, Xiaojin Zhang

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) toge…

math.RT2009★ 7 cited

Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories

Zhaoyong Huang, Xiaojin Zhang

For an Artinian $(n - 1)$ -Auslander algebra $Λ$ with global dimension $n (\geq 2)$ , we show that if $Λ$ admits a trivial maximal $(n - 1)$ -orthogonal subcategory of $mod Λ$ , then $Λ$ is…

math.RT2009★ 13 cited

The Existence of Maximal $n$ -Orthogonal Subcategories

Zhaoyong Huang, Xiaojin Zhang

For an $(n - 1)$ -Auslander algebra $Λ$ with global dimension $n$ , we give some necessary conditions for $Λ$ admitting a maximal $(n - 1)$ -orthogonal subcategory in terms of the propert…

math.RT2009★ 6 cited

Trivial Maximal 1-Orthogonal Subcategories For Auslander's 1-Gorenstein Algebras

Zhaoyong Huang, Xiaojin Zhang

Let $Λ$ be an Auslander's 1-Gorenstein Artinian algebra with global dimension two. If $Λ$ admits a trivial maximal 1-orthogonal subcategory of $mod Λ$ , then for any indecomposable…

From Auslander Algebras to Tilted Algebras

Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories

The Existence of Maximal n-Orthogonal Subcategories

Trivial Maximal 1-Orthogonal Subcategories For Auslander's 1-Gorenstein Algebras

The Existence of Maximal $n$ -Orthogonal Subcategories