论文标题
$ M $ - 周期性的Gorenstein对象
$m$-periodic Gorenstein objects
论文作者
论文摘要
我们介绍并研究了$ m $ - 周期性戈伦斯坦的概念相对于一对$（\ Mathcal {a，b}）$的对象类别中的对象的$（\ Mathcal {a，b}）$，作为$ m $ m $ - gorenstein投射模块的概括。在某些情况下，我们证明了几个属性，其中$（\ Mathcal {a，b}）$满足某些同源条件，例如，$（\ Mathcal {a，b}）$是GP加热对。还建立了与这些对的戈伦斯坦对象和戈伦斯坦同源维度的连接。
We present and study the concept of $m$-periodic Gorenstein objects relative to a pair $(\mathcal{A,B})$ of classes of objects in an abelian category, as a generalization of $m$-strongly Gorenstein projective modules over associative rings. We prove several properties in some cases where $(\mathcal{A,B})$ satisfies certain homological conditions, like for instance when $(\mathcal{A,B})$ is a GP-admissible pair. Connections to Gorenstein objects and Gorenstein homological dimensions relative to these pairs are also established.
