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On identities of right alternative metabelian Grassmann algebras

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The right alternative metabelian (solvable of index 2) Grassmann algebras of rank 1 and 2 are studied. A basis of identities of a right alternative metabelian Grassmann algebra of rank 1 is presented. Then it is proved that the variety generated by the indicated algebra has almost finite topological rank. It is also shown that the variety generated by a Grassmann algebra of rank 2 is not Spechtian.

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Authors and Affiliations

  1. Russian Federation Government Financial Academy, Moscow, Russia

    S. V. Pchelintsev

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  1. S. V. Pchelintsev
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Correspondence to S. V. Pchelintsev.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 157–183, 2007.

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Pchelintsev, S.V. On identities of right alternative metabelian Grassmann algebras. J Math Sci 154, 230–248 (2008). https://doi.org/10.1007/s10958-008-9162-8

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