Abelian product of free Abelian and free Lie algebras

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Ozkurt Z., EKİCİ N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.47, no.2, pp.331-337, 2018 (SCI-Expanded) identifier identifier


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.