Vector spaces over finite commutative rings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910894942846976 |
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| author | Guo, Jun Liu, Junli Xu, Qiuli |
| author_facet | Guo, Jun Liu, Junli Xu, Qiuli |
| contents | Vector spaces over finite fields and Anzahl formulas of subspaces were studied by Wan (Geometry of Classical Groups over Finite Fields, Science Press, 2002). As a generalization, we study vector spaces and singular linear spaces over commutative rings, and obtain some Anzahl formulas and dimensional formula for subspaces. Moreover, we discuss arcs and caps by using these subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vector spaces over finite commutative rings Guo, Jun Liu, Junli Xu, Qiuli Combinatorics Vector spaces over finite fields and Anzahl formulas of subspaces were studied by Wan (Geometry of Classical Groups over Finite Fields, Science Press, 2002). As a generalization, we study vector spaces and singular linear spaces over commutative rings, and obtain some Anzahl formulas and dimensional formula for subspaces. Moreover, we discuss arcs and caps by using these subspaces. |
| title | Vector spaces over finite commutative rings |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.10576 |