Clean Indices of Common Rings
Lee and Zhou introduced the clean index of rings in 2004. Motivated by this work, Basnet and Bhattacharyya introduced both the weak clean index of rings and the nil clean index of rings and Cimpean and Danchev introduced the weakly nil clean index of rings. In this work, we calculate each of these i...
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| Format: | Others |
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BYU ScholarsArchive
2018
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| Online Access: | https://scholarsarchive.byu.edu/etd/7027 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=8027&context=etd |
| Summary: | Lee and Zhou introduced the clean index of rings in 2004. Motivated by this work, Basnet and Bhattacharyya introduced both the weak clean index of rings and the nil clean index of rings and Cimpean and Danchev introduced the weakly nil clean index of rings. In this work, we calculate each of these indices for the rings ℤ/nℤ and matrix rings with entries in ℤ/nℤ. A generalized index is also introduced. |
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