A function identity related to Jordan Derivations on Matrix Rings
碩士 === 國立彰化師範大學 === 數學系所 === 100 === Let R be a 2-torsion free commutative ring with identity 1 and □(〖 d:M〗_n (R)→┬( ) )M_n (R) an additive map satisfying d(x^3 )=d(x) x^2+xd(x)x+x^2 d(x) for all x ∈M_n (R), where n ≥2. Then there exist a matrix A ∈ M_n (R), a derivation δ:R →R and an addi...
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2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/82708735458067370160 |
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ndltd-TW-100NCUE54790062015-10-13T21:28:01Z http://ndltd.ncl.edu.tw/handle/82708735458067370160 A function identity related to Jordan Derivations on Matrix Rings 一個與矩陣環上喬丹導算相關的函數恆等式 Wan-Hsuan Huang 黃菀萱 碩士 國立彰化師範大學 數學系所 100 Let R be a 2-torsion free commutative ring with identity 1 and □(〖 d:M〗_n (R)→┬( ) )M_n (R) an additive map satisfying d(x^3 )=d(x) x^2+xd(x)x+x^2 d(x) for all x ∈M_n (R), where n ≥2. Then there exist a matrix A ∈ M_n (R), a derivation δ:R →R and an additive map μ ̅ : M_n (R) □(→┬( ) ) Z(M_n (R)) with 3μ ̅( M_n (R)) = 0 such that d=d_A+δ ̅+μ ̅ , where d_(A )is the inner derivation of M_n (R) defined by A and δ ̅ is the derivation of M_n (R) induced by δ. Cheng-Kai Liu 劉承楷 2012 學位論文 ; thesis 11 zh-TW |
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NDLTD |
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zh-TW |
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Others
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NDLTD |
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碩士 === 國立彰化師範大學 === 數學系所 === 100 === Let R be a 2-torsion free commutative ring with identity 1 and □(〖 d:M〗_n (R)→┬( ) )M_n (R) an additive map satisfying
d(x^3 )=d(x) x^2+xd(x)x+x^2 d(x)
for all x ∈M_n (R), where n ≥2. Then there exist a matrix A ∈ M_n (R), a derivation
δ:R →R and an additive map μ ̅ : M_n (R) □(→┬( ) ) Z(M_n (R)) with 3μ ̅( M_n (R)) = 0 such that d=d_A+δ ̅+μ ̅ , where d_(A )is the inner derivation of M_n (R) defined by A and δ ̅ is the derivation of M_n (R) induced by δ.
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| author2 |
Cheng-Kai Liu |
| author_facet |
Cheng-Kai Liu Wan-Hsuan Huang 黃菀萱 |
| author |
Wan-Hsuan Huang 黃菀萱 |
| spellingShingle |
Wan-Hsuan Huang 黃菀萱 A function identity related to Jordan Derivations on Matrix Rings |
| author_sort |
Wan-Hsuan Huang |
| title |
A function identity related to Jordan Derivations on Matrix Rings |
| title_short |
A function identity related to Jordan Derivations on Matrix Rings |
| title_full |
A function identity related to Jordan Derivations on Matrix Rings |
| title_fullStr |
A function identity related to Jordan Derivations on Matrix Rings |
| title_full_unstemmed |
A function identity related to Jordan Derivations on Matrix Rings |
| title_sort |
function identity related to jordan derivations on matrix rings |
| publishDate |
2012 |
| url |
http://ndltd.ncl.edu.tw/handle/82708735458067370160 |
| work_keys_str_mv |
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