邓清.环上矩阵环的导子[J].数学研究及应用,1993,13(1):115~118
环上矩阵环的导子
Derivations of the Full Matrix Rings over a Ring
投稿时间:1990-12-19  
DOI:10.3770/j.issn:1000-341X.1993.01.025
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邓清 西南师范大学 
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英文摘要:
      Let R be a ring with identity. Let Rn denote the full matrix ring over R and d be a derivation of Rn. In this note, it is shown that each derivation d of Rn may determine a derivation f of R such that d(xE) can be expressed by f for every x in R(E be the unity of Rn). Moreover, the relations between d-and f are discussed. In particulat, a necessary condition for a derivation of R to be extendable to one of Rn's is given.
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