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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2007 Volume 13, Issue 2, Pages 157–183 (Mi fpm22)

This article is cited in 6 papers

On identities of right alternative metabelian Grassmann algebras

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation

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.

UDC: 512.554.5


 English version:
Journal of Mathematical Sciences (New York), 2008, 154:2, 230–248

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