相对于Frobenius对的合冲对象

Syzygy Objects with Respect to Frobenius Pairs

定义了相对于Frobenius对的合冲对象。刻画了合冲对象的性质,研究了Frobenius对在Gorenstein合冲模上的应用,得到了关于Gorenstein合冲模的相关定理。特别地,定义了Gorenstein平坦合冲模,研究了Gorenstein平坦合冲模的一些性质。

In this paper,we define syzygy objects with respect to Frobenius pairs,describe the nature of the syzygy object,study some applications of Frobenius pairs to Gorenstein syzygy modules and get a theorem about Gorenstein syzygy modules.In particular,we define Gorenstein flat syzygy modules and study the nature of Gorenstein flat syzygy modules.