论文标题
超级射击模块的注释
Notes on Super Projective Modules
论文作者
论文摘要
射影模块是Serre-Swan定理确定的几何和代数之间的联系。在本文中，我们定义了投影模块的超级类似物，并在某些特定的超级几何对象的情况下探索了此链接。我们考虑在超球面上的切线束，并表明supersphere上的向量场的模块是超级函数环上的超级射击模块。此外，我们讨论了一类超级射击模块，这些模块可以从超音球上超级函数环上定义的模块上的投影映射构造。
Projective modules are a link between geometry and algebra as established by the theorem of Serre-Swan. In this paper, we define the super analog of projective modules and explore this link in the case of some particular super geometric objects. We consider the tangent bundle over the supersphere and show that the module of vector field over a supersphere is a super projective module over the ring of supersmooth functions. Also, we discuss a class of super projective modules that can be constructed from a projection map on modules defined over the ring of supersmooth functions over superspheres.
