01393nam a22002057a 4500 20240205123432.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Morye, Archana S. Notes on Super Projective Modules (Journal Article) New Delhi :Indian National Science Academy | Springer , 2023 1226-1238p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** Abstract: 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. Free supermodules| Super projective modules| Superspace Phukon, Aditya Sarma | Devichandrika, V. https://doi.org/10.1007/s13226-022-00336-4 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45424 45423