| Title:
             | 
Generalized derivations associated with Hochschild 2-cocycles on some algebras (English) | 
| Author:
             | 
Li, Jiankui | 
| Author:
             | 
Zhou, Jiren | 
| Language:
             | 
English | 
| Journal:
             | 
Czechoslovak Mathematical Journal | 
| ISSN:
             | 
0011-4642 (print) | 
| ISSN:
             | 
1572-9141 (online) | 
| Volume:
             | 
60 | 
| Issue:
             | 
4 | 
| Year:
             | 
2010 | 
| Pages:
             | 
909-932 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A.  Nakajima. We show that every generalized Jordan derivation of this type from CSL  algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL  algebras. (English) | 
| Keyword:
             | 
CSL algebra | 
| Keyword:
             | 
generalized derivation | 
| Keyword:
             | 
generalized Jordan derivation | 
| Keyword:
             | 
Hochschild 2-cocycle | 
| MSC:
             | 
47B47 | 
| MSC:
             | 
47L35 | 
| idZBL:
             | 
Zbl 1220.47143 | 
| idMR:
             | 
MR2738956 | 
| . | 
| Date available:
             | 
2010-11-20T13:52:31Z | 
| Last updated:
             | 
2020-07-03 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/140793 | 
| . | 
| Reference:
             | 
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| . |