ORBITS AND TEST ELEMENTS IN FREE LEIBNIZ ALGEBRAS OF RANK TWO


Ozkurt Z.

COMMUNICATIONS IN ALGEBRA, cilt.43, ss.3534-3544, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/00927872.2014.982806
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayısı: ss.3534-3544

Özet

Let F be the free Leibniz algebra of rank two over a field K of characteristic zero freely generated by x(1) and x(2). In this article we show that an endomorphism of F which preserves the orbit of a nontrivial element of F is an automorphism. Using this result, we determine some test elements of F.