Notes on Super Projective Modules
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 an...
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| Veröffentlicht in: | Indian journal of pure and applied mathematics 2023-12, Vol.54 (4), p.1226-1238 |
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| container_title | Indian journal of pure and applied mathematics |
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| creator | Morye, Archana S. Sarma Phukon, Aditya Devichandrika, V. |
| description | 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. |
| doi_str_mv | 10.1007/s13226-022-00336-4 |
| format | Article |
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| subjects | Applications of Mathematics Fields (mathematics) Mathematics Mathematics and Statistics Modules Numerical Analysis Original Research |
| title | Notes on Super Projective Modules |
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