Abelian product of free Abelian and free Lie algebras

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Ozkurt Z., EKİCİ N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.47, sa.2, ss.331-337, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15672/hjms.2017.455
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.331-337
  • Çukurova Üniversitesi Adresli: Evet

Özet

Let Fn be a free Lie Algebra of finite rank n and A be a free abelian Lie algebra of finite rank m >= 0. We investigate the properties of the generating sets and subalgebras of the abelian product A *(ab) Fn. Moreover these properties are used to solve the membership problem for A *(ab) Fn.