On Pappian and Desarguesian affine planes

We present a complete proof of the classical Heisenberg’s Theorem on the Desarguesian property of Pappian affine planes. In the proof we consider two cases, one of which was omitted in the original Hessenberg’s proof, making it incomplete.

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Publication Details

Journal
Matematychni Studii
Published
2025-09-22
DOI
https://doi.org/10.30970/ms.64.1.92-98
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

On Pappian and Desarguesian affine planes

V. O. Pshyk
Matematychni Studii
Mathematics and Applications
article

On Pappian and Desarguesian affine planes

V. O. Pshyk
article en

Abstract

We present a complete proof of the classical Heisenberg’s Theorem on the Desarguesian property of Pappian affine planes. In the proof we consider two cases, one of which was omitted in the original Hessenberg’s proof, making it incomplete.

Matematychni StudiiVol. 64(1)
Lviv University (UA)
Openalex Percentile: Top 67%
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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On Pappian and Desarguesian affine planes — V. O. Pshyk · Matematychni Studii (2025) | TGRS Research Map | TGRS