Vector spaces over finite commutative rings
Combinatorics
2025-03-28 v2
Abstract
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.
Cite
@article{arxiv.2407.10576,
title = {Vector spaces over finite commutative rings},
author = {Jun Guo and Junli Liu and Qiuli Xu},
journal= {arXiv preprint arXiv:2407.10576},
year = {2025}
}
Comments
19 pages