TY  - JOUR
T1  - NECESSARY CONDITION FOR  $IA$-AUTOMORPHISMS IN LEIBNIZ ALGEBRAS
AU  - Yaptı Özkurt, Zeynep
PY  - 2024
DA  - July
Y2  - 2024
DO  - 10.33773/jum.1428190
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 75
EP  - 84
VL  - 7
IS  - 2
LA  - en
AB  - Let $F$ be the free Leibniz algebra generated by the set $%X=\{x_{1},...,x_{n}\}$ over the field $K$ of characteristic $0$. consider $R$ as anideal of $F$. This study initially derives an explicit matrix representation for the $IA$-automorphisms of the Leibniz algebra $F/R^{\prime }$. Subsequently, we establish a necessary condition for an $IA$%-endomorphism of $F/R^{\prime }$ to be an $IA$-automorphism. This method is explicitly based on Dieudonn\'{e} determinant.
KW  - Leibniz algebra
KW  - Automorphisms
KW  - Dieudonné Determinant
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UR  - https://doi.org/10.33773/jum.1428190
L1  - https://dergipark.org.tr/tr/download/article-file/3693488
ER  -