Test elements of direct sums and free products of free Lie algebras


Eskal C., EKİCİ N.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.126, ss.43-48, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 126 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s12044-015-0259-y
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.43-48

Özet

We give a characterization of test elements of a direct sum of free Lie algebras in terms of test elements of the factors. In addition, we construct certain types of test elements and we prove that in a free product of free Lie algebras, product of the homogeneous test elements of the factors is also a test element.