A note on rings with certain variables identities
It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117128900058X |
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| _version_ | 1832560301039419392 |
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| author | Hazar Abu-Khuzam |
| author_facet | Hazar Abu-Khuzam |
| author_sort | Hazar Abu-Khuzam |
| collection | DOAJ |
| description | It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal. |
| format | Article |
| id | doaj-art-20f9f25a22dc4e168e4abf963a084022 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-20f9f25a22dc4e168e4abf963a0840222025-02-03T01:27:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112346346610.1155/S016117128900058XA note on rings with certain variables identitiesHazar Abu-Khuzam0Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, Dhahran, Saudi ArabiaIt is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.http://dx.doi.org/10.1155/S016117128900058X |
| spellingShingle | Hazar Abu-Khuzam A note on rings with certain variables identities International Journal of Mathematics and Mathematical Sciences |
| title | A note on rings with certain variables identities |
| title_full | A note on rings with certain variables identities |
| title_fullStr | A note on rings with certain variables identities |
| title_full_unstemmed | A note on rings with certain variables identities |
| title_short | A note on rings with certain variables identities |
| title_sort | note on rings with certain variables identities |
| url | http://dx.doi.org/10.1155/S016117128900058X |
| work_keys_str_mv | AT hazarabukhuzam anoteonringswithcertainvariablesidentities AT hazarabukhuzam noteonringswithcertainvariablesidentities |