ORBITS AND TEST ELEMENTS IN FREE LEIBNIZ ALGEBRAS OF RANK TWO

Ozkurt Z.

COMMUNICATIONS IN ALGEBRA, cilt.43, sa.8, ss.3534-3544, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/00927872.2014.982806
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3534-3544
  • Çukurova Üniversitesi Adresli: Evet

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.