Let R be a prime ring, f(X 1, â¦, X n ) a multilinear polynomial which is not central-valued on R, and G a nonzero generalized skew derivation of R. Suppose that G(f(x 1, â¦, x n )) is zero or invertible for all x 1, â¦, x n   R. Then it is proved that R is either a division ring or the ring of all 2 Ã 2 matrices over a division ring. This result simultaneously generalizes a number of results in the literature.View full textDownload full textKey WordsExtended density theorem, Generalize d skew derivations, Prime rings, Skew derivations2010 Mathematics Subject Classification16N60, 16W25, 16U80Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2012.689393
展开▼
机译：设R为素环，f（X 1 ，â，X n ）是在R上不是中心值的多元线性多项式，G是非零广义R的偏导数。假设对于所有x 1 1 ，,, x n ））为零或可逆。 >，…，x n ÂR。然后证明R是除法环或除法环上所有2×2矩阵的环。此结果同时在文献中推广了许多结果。查看全文下载扩展的密度定理，推广d偏导数，素环，偏导数2010数学主题分类16N60、16W25、16U80相关的var addthis_config = {ui_cobrand：“ Taylor＆Francis Online” ，services_compact：“ citeulike，netvibes，twitter，technorati，美味，linkedin，facebook，stumbleupon，digg，google，更多”，发布号：“ ra-4dff56cd6bb1830b”}；添加到候选列表链接永久链接http://dx.doi.org/10.1080/00927872.2012.689393
展开▼
