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

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	345-355
Number of pages	11
Journal	Journal of Algebra
Volume	526
DOIs	https://doi.org/10.1016/j.jalgebra.2019.02.019
Publication status	Published - 2019

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Digital Transformation

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10.1016/j.jalgebra.2019.02.019

Clonoids: a unifying approach to equational logic and clones
Aichinger, E. (PI)
01.02.2017 → 31.01.2020
Project: Funded research › FWF - Austrian Science Fund

Cite this

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title = "On invertible matrices over a near-field",

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.",

author = "Timothy Boykett and Wen-Fong Ke and Meyer, \{Johan H.\}",

year = "2019",

doi = "10.1016/j.jalgebra.2019.02.019",

language = "English",

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pages = "345--355",

journal = "Journal of Algebra",

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AU - Boykett, Timothy

AU - Ke, Wen-Fong

AU - Meyer, Johan H.

PY - 2019

Y1 - 2019

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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.

U2 - 10.1016/j.jalgebra.2019.02.019

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

Fields of science

JKU Focus areas

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Projects

Clonoids: a unifying approach to equational logic and clones

Cite this