Certain near-rings are rings, II
We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under appropriate additional hypotheses, we prove t...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000327 |
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| _version_ | 1832548716978896896 |
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| author | Howard E. Bell |
| author_facet | Howard E. Bell |
| author_sort | Howard E. Bell |
| collection | DOAJ |
| description | We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under appropriate additional hypotheses, we prove that R must be a commutative ring. |
| format | Article |
| id | doaj-art-f4a2077013274f5586a38b48b0a394c6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f4a2077013274f5586a38b48b0a394c62025-02-03T06:13:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019226727210.1155/S0161171286000327Certain near-rings are rings, IIHoward E. Bell0Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, CanadaWe investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under appropriate additional hypotheses, we prove that R must be a commutative ring.http://dx.doi.org/10.1155/S0161171286000327commutativitydistributively-generated near-rings. |
| spellingShingle | Howard E. Bell Certain near-rings are rings, II International Journal of Mathematics and Mathematical Sciences commutativity distributively-generated near-rings. |
| title | Certain near-rings are rings, II |
| title_full | Certain near-rings are rings, II |
| title_fullStr | Certain near-rings are rings, II |
| title_full_unstemmed | Certain near-rings are rings, II |
| title_short | Certain near-rings are rings, II |
| title_sort | certain near rings are rings ii |
| topic | commutativity distributively-generated near-rings. |
| url | http://dx.doi.org/10.1155/S0161171286000327 |
| work_keys_str_mv | AT howardebell certainnearringsareringsii |