Derivations of the Full Matrix Rings over a Ring
Received:December 19, 1990  
Key Words:   
Fund Project:
Author NameAffiliation
Deng Qing Dept. of Math.
Southwest China Teachers Univ.
Chongqing 
Hits: 2075
Download times: 919
Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1993.01.025
View Full Text  View/Add Comment