根箭图表示范畴中的Gorenstein平坦-余挠对象

Gorenstein flat-cotorsion objects in categories of rooted quiver representations

设R是具有单位元的结合环,Q=(Q 0,Q 1,s,t)是箭图.给出根箭图表示范畴中的Gorenstein平坦-余挠对象的定义及等价刻画,并研究Gorenstein平坦-余挠对象的相关性质.

Let R be an associative ring with identity and Q=(Q_(0),Q_(1),s,t)be a quiver.The definition and equivalent characterizations of Gorenstein flat-cotorsion objects in categories of rooted quiver representations are given,and the related properties of Gorenstein flat-cotorsion objects are studied.