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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 2, Pages 157–183 (Mi fpm22)  
This article is cited in 6 scientific papers (total in 6 papers)

On identities of right alternative metabelian Grassmann algebras

S. V. Pchelintsev

Finance Academy under the Government of the Russian Federation
Full-text PDF (261 kB) Citations (6) English version article
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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.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 2, Pages 230–248
DOI: https://doi.org/10.1007/s10958-008-9162-8
Bibliographic databases:
UDC: 512.554.5
Language: Russian
Citation: S. V. Pchelintsev, “On identities of right alternative metabelian Grassmann algebras”, Fundam. Prikl. Mat., 13:2 (2007), 157–183; J. Math. Sci., 154:2 (2008), 230–248
Citation in format AMSBIB
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\paper On identities of right alternative metabelian Grassmann algebras
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\pages 157--183
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\transl
\jour J. Math. Sci.
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\pages 230--248
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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