ON IDEALS OF FREE POLYNILPOTENT LIE-ALGEBRAS


BORAL M.

COMMUNICATIONS IN ALGEBRA, cilt.19, ss.29-35, 1991 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 1
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1080/00927879108824127
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.29-35

Özet

This paper investigates ideals in free polynipotent Lie algebras. In section 2 it is shown that if S is a non-zero finitely generated subalgebra that is an ideal in a free polynilpotent Lie algebra L, then S = L. In section-sign 3 it is proved that if L is a free polynilpotent Lie algebra and S is a nonabelian free polynilpotent ideal in L, then S is a term of the polycentral series of L or S = L.