Morye, Archana S. creator Phukon, Aditya Sarma | Devichandrika, V. text New Delhi , 2023 monographic eng

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1226-1238p. 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. ***______{For Hard Copy, Please visit Library.}________*** Free supermodules| Super projective modules| Superspace 0019-5588 https://doi.org/10.1007/s13226-022-00336-4 https://doi.org/10.1007/s13226-022-00336-4 240205 20240205123432.0