Bi-Jordan n-derivations on triangular rings: maximal quotient rings and faithful module
Received:October 25, 2023  Revised:January 25, 2024
Key Words: triangular rings  maximal quotient rings  faithful bimodules   nest algebras   extremal biderivation  
Fund Project:Anhui Natural Science Foundation (Grant No.2008085QA01),University Natural Science Research Project of Anhui Province (Grant No. KJ2019A0107)
Author NameAffiliationAddress
Xinfeng Liang* AnHui university of science &
technology 
山南新区泰丰大街168号安徽理工大学数学与大数据学院
Lingling Zhao AnHui university of science &
technology 
山南新区泰丰大街168号安徽理工大学数学与大数据学院
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Abstract:
      In this paper, we mainly study the structure of bi-Jordan n-derivations in triangular rings under conditions of maximal quotient rings and faithful bimodules respectively. It is shown that every bi-Jordan n-derivation can be decomposed into the sum of an inner biderivation and an extremal biderivation in two different conditions. As by-products, the structures of bi-Jordan n-derivation over upper triangular matrix rings and nest algebras are characterized, respectively, and generalize the known results.
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