On direct sums and quotient spaces of near-vector spaces

K.-T. Howell, L. Wessels, Philippe Cara

Onderzoeksoutput: Articlepeer review

Samenvatting

In this paper we study the direct sums of subspaces and some constructions of quotient spaces of near-vector spaces, as defined by André. In particular, for near-vector spaces constructed by taking copies of finite fields, we characterise the quasi-kernels of their quotient spaces, find their cardinality and determine when they are regular. In the case of non-regular quotient spaces, we show how they decompose into maximal regular subspaces. We show how the theory of finite-dimensional near-vector spaces constructed from finite fields allows us to reconstruct near-vector spaces with certain quotient spaces.
Originele taal-2English
Artikelnummer29
Aantal pagina's13
TijdschriftAfrika Mathematica
Volume35
Nummer van het tijdschrift1
DOI's
StatusPublished - 13 feb 2024

Bibliografische nota

Publisher Copyright:
© The Author(s) 2024.

Vingerafdruk

Duik in de onderzoeksthema's van 'On direct sums and quotient spaces of near-vector spaces'. Samen vormen ze een unieke vingerafdruk.

Citeer dit