Some properties of linear right ideal nearrings

K. D. Magill

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-29

Abstract:

In a previous paper, we determined all those topological nearrings 𝒩 n whose additive groups are the n -dimensional Euclidean groups, n > 1 , and which contain n one-dimensional linear subspaces { J i } i = 1 n which are also right ideals of the nearring with the property that for each w ∈ 𝒩 n , there exist w i ∈ J i , 1 ≤ i ≤ n , such that w = w 1 + w 2 + ⋯ + w n and v w = v w n for each v ∈ 𝒩 n . In this paper, we determine the properties of these nearrings, their ideals, and when two of these nearrings are isomorphic, and we investigate the multiplicative semigroups of these nearrings.

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/390741.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/390741.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:390741

DOI: 10.1155/S0161171203306295

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().