| 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) |
|
| Hits: 95 |
| Download times: 0 |
| 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. |
| Citation: |
| DOI: |
| View/Add Comment |
