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Structure of finitely generated commutative alternative algebras and special Moufang loops |
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| Authors: | S V Pchelintsev |
| Institution: | (1) The Finance Academy under the Government of the Russian Federation, Moscow |
| Abstract: | It is proved that the commutator ideal of the multiplication algebra of a free commutative alternative algebra of rank n is nilpotent of index n ? 1. As a corollary to this fact, the Bruck theorem for special commutative Moufang loops is derived. |
| Keywords: | commutative Moufang loop central nilpotency alternative algebra special Moufang loop commutator ideal |
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