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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| Format: | Article |
| Language: | English |
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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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| author | K. D. Magill |
| author_facet | K. D. Magill |
| author_sort | K. D. Magill |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-32c6c1dc663949bb86a01ca9ae32274e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-32c6c1dc663949bb86a01ca9ae32274e2025-08-20T02:24:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003654085411310.1155/S0161171203306295Some properties of linear right ideal nearringsK. D. Magill0Department of Mathematics, State University of New York at Buffalo, Buffalo 14260-2900, NY, USAIn 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.http://dx.doi.org/10.1155/S0161171203306295 |
| spellingShingle | K. D. Magill Some properties of linear right ideal nearrings International Journal of Mathematics and Mathematical Sciences |
| title | Some properties of linear right ideal nearrings |
| title_full | Some properties of linear right ideal nearrings |
| title_fullStr | Some properties of linear right ideal nearrings |
| title_full_unstemmed | Some properties of linear right ideal nearrings |
| title_short | Some properties of linear right ideal nearrings |
| title_sort | some properties of linear right ideal nearrings |
| url | http://dx.doi.org/10.1155/S0161171203306295 |
| work_keys_str_mv | AT kdmagill somepropertiesoflinearrightidealnearrings |