AI 中文总结
该研究针对非点态挠率理论提出等价定义，引入近挠率理论概念，给出关联最大非点态挠率理论的通用方法，并构造了点态范畴中由核、余核图类形成的近挠率理论及对应挠率理论。
AI 中文摘要
我们给出了非点态挠率理论（文献中也称为预挠率理论）的等价定义，该定义采用了新的、更具一般性的近挠率理论概念，且不使用非点态正合性。此外，我们描述了一种将任意给定近挠率理论关联为“最大”（非点态）挠率理论的通用方法。我们还描述了在具有核与余核的点态范畴中，由余核图类和核图类构成的近挠率理论及其关联的挠率理论。
英文摘要
We give an equivalent definition of a non-pointed torsion theory, also called a pretorsion theory in the literature. This uses a new, more general, notion of a near-torsion theory, and does not use non-pointed exactness. Furthermore, a general method of associating the `largest' (non-pointed) torsion theory to any given near-torsion theory is described. We also describe a near-torsion theory formed by the class of cokernel diagrams and the class of kernel diagrams in a pointed category with kernels and cokernels, and its associated torsion theory.
Comments10 pages
