Xi Tang

most citedHomological Aspects of the Dual Auslander Transpose

21 citations · 34 across the 4 of their papers we have counts for

collaborators

4 papers

math.RT2019

Higher differential objects in additive categories

Xi Tang, Zhaoyong Huang

Given an additive category $C$ and an integer $n ⩾ 2$ . We form a new additive category $C [ε]^{n}$ consisting of objects $X$ in $C$ equipped with…

math.RA2019

Cograde conditions and cotorsion pairs

Xi Tang, Zhaoyong Huang

Let $R$ and $S$ be rings and $_{R} ω_{S}$ a semidualizing bimodule. We study when the double functor $\Tor^S_i(ω, \Ext^i_{R}(ω,-))$ preserves epimorphisms and the double functor $\Ext_{…

math.RA2015★ 13 cited

Homological Aspects of the Dual Auslander Transpose II

Xi Tang, Zhaoyong Huang

Let $R$ and $S$ be rings and $_{R} ω_{S}$ a semidualizing bimodule. We prove that there exists a Morita equivalence between the class of $\infty$ - $ω$ -cotorsionfree modules and a subclas…

math.KT2015★ 21 cited

Homological Aspects of the Dual Auslander Transpose

Xi Tang, Zhaoyong Huang

As a dual of the Auslander transpose of modules, we introduce and study the cotranspose of modules with respect to a semidualizing module $C$ . Then using it we introduce $n$ - $C$ -co…