On invertible matrices over a near-field

Timothy Boykett; Wen-Fong Ke; Johan H. Meyer

doi:10.1016/j.jalgebra.2019.02.019

On invertible matrices over a near-field

Timothy Boykett
, Wen-Fong Ke
, Johan H. Meyer

Institut für Algebra

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

In this note it is shown that the inverse of a bijective 2 × 2 matrix over a specific near-field is not necessarily a matrix. The approach followed here corrects an erroneous argument that was used in a previous paper to show the same result.

Originalsprache	Englisch
Seiten (von - bis)	345-355
Seitenumfang	11
Fachzeitschrift	Journal of Algebra
Volume	526
DOIs	https://doi.org/10.1016/j.jalgebra.2019.02.019
Publikationsstatus	Veröffentlicht - 15 Mai 2019

Wissenschaftszweige

101 Mathematik
101001 Algebra
101005 Computeralgebra
101013 Mathematische Logik
102031 Theoretische Informatik

JKU-Schwerpunkte

Digital Transformation

Zugriff auf Dokument

10.1016/j.jalgebra.2019.02.019

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1 Abgeschlossen

Clonoids: a unifying approach to equational logic and clones
Aichinger, E. (Projektleiter*in)
01.02.2017 → 31.01.2020
Projekt: Geförderte Forschung › FWF - Österreichischer Wissenschaftsfonds

Dieses zitieren

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AB - In this note it is shown that the inverse of a bijective 2 × 2 matrix over a specific near-field is not necessarily a matrix. The approach followed here corrects an erroneous argument that was used in a previous paper to show the same result.

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DO - 10.1016/j.jalgebra.2019.02.019

M3 - Article

SN - 0021-8693

VL - 526

SP - 345

EP - 355

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On invertible matrices over a near-field

Abstract

Wissenschaftszweige

JKU-Schwerpunkte

Zugriff auf Dokument

Andere Dateien und Links

Projekte

Clonoids: a unifying approach to equational logic and clones

Dieses zitieren