On the dimension of the algebraic sum of subspaces

Abstract We provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field.

Authors

Tomasz Szemberg (ORCID: https://orcid.org/0000-0002-4234-5838)
Gregoris Makrides

Institutions

University School of Physical Education in Kraków (PL)

Publication Details

Journal: Open Mathematics
Published: 2025-01-01
DOI: https://doi.org/10.1515/math-2024-0128
Primary Topic: Matrix Theory and Algorithms
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the dimension of the algebraic sum of subspaces

Tomasz Szemberg, Gregoris Makrides

Jan 1, 2025

Open Mathematics

Matrix Theory and Algorithms

article

On the dimension of the algebraic sum of subspaces

Tomasz Szemberg, Gregoris Makrides

January 1, 2025article en

Abstract

Abstract We provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field.

Open MathematicsVol. 23(1)

University School of Physical Education in Kraków (PL)

Openalex Percentile: Top 92%

Matrix Theory and Algorithms

DOI Open Access PDF OpenAlex

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On the dimension of the algebraic sum of subspaces — Tomasz Szemberg, Gregoris Makrides · Open Mathematics (2025) | TGRS Research Map | TGRS