On identities of right alternative metabelian Grassmann algebras |
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| Authors: | S V Pchelintsev |
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| Institution: | (1) Russian Federation Government Financial Academy, Moscow, Russia |
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| Abstract: | 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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 157–183, 2007. |
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