JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 43-46.doi: 10.6040/j.issn.1671-9352.0.2014.395

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Several results on derivations of formal triangular matrix rings

HUANG Shu-liang   

  1. School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, Anhui, China
  • Received:2014-09-06 Revised:2015-08-22 Online:2015-10-20 Published:2015-10-21

Abstract: Let A,B be commutative rings with identity, M a nonzero (A,B)-bimodule and D be a derivation of formal triangular matrix ring
Tri(A,M,B)={(a0 mb)|aA, mM, bB}.
If D(Xm)=(D(X))n or D((XY)n)=D(Xn)D(Yn) for all X,Y∈Tri(A,M,B),where m,n≥1 are fixed integers, then D=0.

Key words: formal triangular matrix ring, derivation, Jordan homomorphism

CLC Number: 

  • O153.3
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