JOURNAL ARTICLE

Distributive decomposition of near-vector spaces.

  • Published In: Journal of Algebra & Its Applications, 2026, v. 25, n. 9. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Boonzaaier, Leandro; Marques, Sophie; Moore, Daniella 3 of 3

Abstract

This paper characterizes the regularity of arbitrary near-vector spaces by representing them as direct sums of vector spaces over division rings formed by distributive elements. This approach allows us to define the dimension of a near-vector space in terms of the dimensions of these summands, providing new insights into the structure and properties of near-vector spaces. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Algebra & Its Applications. 2026/08, Vol. 25, Issue 9, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2026
  • ISSN:0219-4988
  • DOI:10.1142/S021949882650088X
  • Accession Number:193143743
  • Copyright Statement:Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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