Vector spaces over finite commutative rings

Utilitas Mathematica 2026 Open access

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Authors: Jun Guo, Junli Liu, Qiuli Xu
DOI: 10.61091/um126-04
Cited by: 0

Abstract

As a generalization of vector spaces over finite fields, we study vector spaces over finite commutative rings, and obtain Anzahl formulas and a dimensional formula for subspaces. By using these results, we discuss normalized matching (NM) property of a class of subspace posets.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Rings Modules and Algebras Coding theory and cryptography

Publication details

Journal / source
Utilitas Mathematica
Volume
126
Pages
83–103
Publication date
27 January 2026
Language
EN