On two questions of Nicholson
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arXiv
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| Format: | Preprint |
| Published: |
2014
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| _version_ | 1866915713112866816 |
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| author | Siddique, Feroz |
| author_facet | Siddique, Feroz |
| contents | We show that a ring R has stable range one if and only if every left unit lifts modulo every left principal ideal. We also show that a left quasi-morphic ring has stable range one if and only if it is left uniquely generated. Thus we answer in the affirmative the two questions raised recently by W. K. Nicholson. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1402_4706 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | On two questions of Nicholson Siddique, Feroz Rings and Algebras We show that a ring R has stable range one if and only if every left unit lifts modulo every left principal ideal. We also show that a left quasi-morphic ring has stable range one if and only if it is left uniquely generated. Thus we answer in the affirmative the two questions raised recently by W. K. Nicholson. |
| title | On two questions of Nicholson |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/1402.4706 |