Some properties of linear right ideal nearrings
| Autor: | K. D. Magill |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 65, Pp 4085-4113 (2003) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171203306295 |
| Popis: | In a previous paper, we determined all those topological nearrings 𝒩n whose additive groups are the n-dimensional Euclidean groups, n>1, and which contain n one-dimensional linear subspaces {Ji}i=1n which are also right ideals of the nearring with the property that for each w∈𝒩n, there exist wi∈Ji, 1≤i≤n, such that w=w1+w2+⋯+wnand vw=vwn for each v∈𝒩n. 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. |
| Databáze: | Directory of Open Access Journals |
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