Test rank of an abelian product of a free Lie algebra and a free abelian Lie algebra


EKİCİ N. , ÖĞÜŞLÜ N. Ş.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.121, ss.291-300, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 121 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s12044-011-0033-8
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.291-300

Özet

Let F be a free Lie algebra of rank n >= 2 and A be a free abelian Lie algebra of rank m >= 2. We prove that the test rank of the abelian product F xA is m. Morever we compute the test rank of the algebra.