Alexandr Kornev - Profile on Academia.edu (original) (raw)

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Papers by Alexandr Kornev

Research paper thumbnail of Free Malcev algebra of rank three

Journal of Algebra, 2014

We find a basis for the free Malcev algebra on three free generators over a field of characterist... more We find a basis for the free Malcev algebra on three free generators over a field of characteristic zero. The semiprimity and speciality of this algebra are proved. Also, we prove the decomposability of this algebra into a subdirect sum of the free Lie algebra of rank three and the free algebra of rank three of the variety generated by a simple seven-dimensional Malcev algebra. These results were announced in [1].

Research paper thumbnail of Free Malcev algebra of rank three

Journal of Algebra, 2014

We find a basis for the free Malcev algebra on three free generators over a field of characterist... more We find a basis for the free Malcev algebra on three free generators over a field of characteristic zero. The semiprimity and speciality of this algebra are proved. Also, we prove the decomposability of this algebra into a subdirect sum of the free Lie algebra of rank three and the free algebra of rank three of the variety generated by a simple seven-dimensional Malcev algebra. These results were announced in [1].

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