A note on centralizers
For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004245 |
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| _version_ | 1832545818871070720 |
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| author | Howard E. Bell |
| author_facet | Howard E. Bell |
| author_sort | Howard E. Bell |
| collection | DOAJ |
| description | For prime rings R, we characterize the set U∩CR([U,U]),
where U is a right ideal of R; and we apply our result to
obtain a commutativity-or-finiteness theorem. We include extensions
to semiprime rings. |
| format | Article |
| id | doaj-art-e0bac9b270d54b6eb4f1363913f7075c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e0bac9b270d54b6eb4f1363913f7075c2025-02-03T07:24:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241555710.1155/S0161171200004245A note on centralizersHoward E. Bell0Department of Mathematics, Brock University, Ontario, ST. Catharines L2S 3A1, CanadaFor prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.http://dx.doi.org/10.1155/S0161171200004245Prime ringssemiprime ringscentralizers. |
| spellingShingle | Howard E. Bell A note on centralizers International Journal of Mathematics and Mathematical Sciences Prime rings semiprime rings centralizers. |
| title | A note on centralizers |
| title_full | A note on centralizers |
| title_fullStr | A note on centralizers |
| title_full_unstemmed | A note on centralizers |
| title_short | A note on centralizers |
| title_sort | note on centralizers |
| topic | Prime rings semiprime rings centralizers. |
| url | http://dx.doi.org/10.1155/S0161171200004245 |
| work_keys_str_mv | AT howardebell anoteoncentralizers AT howardebell noteoncentralizers |