Generalized derivations of current Lie algebras
Let L be a Lie algebra and let A be an associative commutative algebra with unity, both over the same field F. We consider the following question. Is every generalized derivation (resp. quasiderivation) of L ⊗ A the sum of a derivation and a map from the centroid of L ⊗ A , if the same holds true fo...
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Published in | Communications in algebra Vol. 52; no. 11; pp. 4603 - 4611 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
01.11.2024
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | Let L be a Lie algebra and let A be an associative commutative algebra with unity, both over the same field F. We consider the following question. Is every generalized derivation (resp. quasiderivation) of
L
⊗
A
the sum of a derivation and a map from the centroid of
L
⊗
A
, if the same holds true for L? |
---|---|
ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927872.2024.2354423 |