Some properties of linear right ideal nearrings
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∈J...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203306295 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |