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http://hdl.handle.net/123456789/2981Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Garg, Shelly | - |
| dc.date.accessioned | 2020-12-10T11:03:50Z | - |
| dc.date.available | 2020-12-10T11:03:50Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier.citation | Journal of Pure and Applied Algebra,218(4), pp.661-665. | en_US |
| dc.identifier.other | https://doi.org/10.1016/j.jpaa.2013.08.006 | - |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0022404913001588?via%3Dihub | - |
| dc.identifier.uri | http://hdl.handle.net/123456789/2981 | - |
| dc.description | Only IISERM authors are available in the record. | - |
| dc.description.abstract | Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we investigate the classical problem of lifting idempotents, in order to consolidate and extend these results. Our main result is that if R is a ring which is complete with respect to an ideal I and if x is an element of R whose image in R/. I is strongly π-regular, then x is strongly clean in R. This generalizes Theorem 2.1 of Chen and Zhou (2007) [9]. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Theorem 2.1 | en_US |
| dc.subject | Clean rings | en_US |
| dc.title | A note on completeness and strongly clean rings | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Research Articles | |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| need to add pdf....odt | 8.12 kB | OpenDocument Text | View/Open |
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