دوره 21، شماره 1 - ( 2-1405 )
جلد 21 شماره 1 صفحات 160-151 |
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Ziaee A, Saeedi F. Some Properties of a Special Subalgebra of Central Derivations. IJMSI 2026; 21 (1) :151-160
URL: http://ijmsi.ir/article-1-2223-fa.html
URL: http://ijmsi.ir/article-1-2223-fa.html
Some Properties of a Special Subalgebra of Central Derivations. مجله علوم ریاضی و انفورماتیک. 1405; 21 (1) :151-160
چکیده:
Let L be a Lie algebra, and Der(L) and IDer(L) be the set of all derivations and inner derivations of L, respectively. Let D be a subalgebra of Der(L) such that it contains IDer(L) and H = ∩α∈DKerα. If DerH(L) denotes the set of all derivations of L whose images are in H, then we give necessary and sufficient conditions under which DerH(L) is equal to some subalgebras of Der(L) for finite dimensional nilpotent Lie algebras.
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