Generalized derivations of current Lie algebras

被引：0
|
作者：
Benkovic, Dominik [1 ,2 ]
Eremita, Daniel [1 ,2 ]
机构：
[1] Univ Maribor, Fac Nat Sci & Math, Koroska Cesta 160, Maribor 2000, Slovenia
[2] Inst Math Phys & Mech, Ljubljana, Slovenia
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 11期
关键词：
Current Lie algebra; derivation; generalized derivation; Lie algebra; quasiderivation; tensor product of algebras;
D O I：
10.1080/00927872.2024.2354423
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 circle times A the sum of a derivation and a map from the centroid of L circle times A , if the same holds true for L?
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页码：4603 / 4611
页数：9
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