论文标题
稳定的HOM功能子，低音扭转和Cotorsion Coradical的有限表现
The finite presentation of the stable Hom functors, the Bass torsion, and the cotorsion coradical
论文作者
论文摘要
我们提供必要的和/或足够的条件，使稳定的HOM功能器有限地呈现。当有限地提出协变量的HOM函子模量射击标准时，其缺陷与固定参数的低音扭转是同构的。当有限地呈现逆向HOM函数模量注射剂时，其缺陷与固定参数的cotorsion是同构的。我们还提供了足够的条件，可以有限地提出张量产品的亚稳定。张量产品的有限呈现导致意外应用。
We provide necessary and/or sufficient conditions for the stable Hom functors to be finitely presented. When the covariant Hom functor modulo projectives is finitely presented, its defect is isomorphic to the Bass torsion of the fixed argument. When the contravariant Hom functor modulo injectives is finitely presented, its defect is isomorphic to the cotorsion of the fixed argument. We also give a sufficient condition for the sub-stabilization of the tensor product to be finitely presented. A finite presentation of the tensor product leads to an unexpected application.
