TY  - JOUR
T1  - ∆-PRIMITIVE ELEMENTS OF FREE METABELIAN LIE ALGEBRAS
AU  - Ersalan, Dilek
AU  - , Zerrinesmerligil
PY  - 2013
DA  - December
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 51
EP  - 55
VL  - 1
IS  - 2
LA  - en
AB  - Let L2be a free metabelian Lie algebra of rank two. We obtaina characterization of ∆-primitive elements of L2. In particular, we prove thatevery endomorphism Φ of L2is an automorhism if and only if Φ takes a ∆primitive element of L2to another ∆-primitive element. Also we show that ina free metabelian Lie algebra of odd rank there are no ∆-primitive elements
KW  - Primitive element
KW  - Free metabelian Lie algebra
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CR  - Department of Mathematics, C¸ ukurova University , Adana-TURKEY E-mail address: dilekah@cu.edu.tr, ezerrin@cu.edu.tr
UR  - https://dergipark.org.tr/en/pub/mathenot/issue//207644
L1  - https://dergipark.org.tr/en/download/article-file/182477
ER  -