On invertible matrices over a near-field

T. Boykett; W. F. Ke; J. H. Meyer

doi:10.1016/j.jalgebra.2019.02.019

On invertible matrices over a near-field

T. Boykett, W. F. Ke, J. H. Meyer

Department of Mathematics

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 [1] 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 May 15

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2019.02.019

Cite this

@article{a83bfbb0d4b74cc2864a717073ceb9c9,

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 [1] to show the same result.",

author = "T. Boykett and Ke, {W. F.} and Meyer, {J. H.}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = may,

day = "15",

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

language = "English",

volume = "526",

pages = "345--355",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - On invertible matrices over a near-field

AU - Boykett, T.

AU - Ke, W. F.

AU - Meyer, J. H.

PY - 2019/5/15

Y1 - 2019/5/15

N2 - 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 [1] to show the same result.

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 [1] to show the same result.

UR - http://www.scopus.com/inward/record.url?scp=85062269339&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062269339&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2019.02.019

DO - 10.1016/j.jalgebra.2019.02.019

M3 - Article

AN - SCOPUS:85062269339

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this