Derivations on One-Sided Ideals of Prime Rings
碩士 === 真理大學 === 數理科學研究所 === 89 === Let R be a prime ring, ρ a nonzero right ideal of R, d a derivation of R and n a fixed positive integer.(I) If d(u)u^n=0 for all u belong to ρ, then d(ρ)ρ=0.(II) If {u^n}d(u)=0 for all u belong to ρ, then d=0 unless R isomorphic to M_2(F) , where F is a...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2001
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| Online Access: | http://ndltd.ncl.edu.tw/handle/72038436737042044292 |