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Algebra and Discrete Mathematics, 2009, Issue 3, Pages 69–76 (Mi adm135)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

The central polynomials for the finite dimensional Grassmann algebras

Plamen Koshlukova, Alexei Krasilnikovb, Élida Alves da Silvac

a IMECC, UNICAMP, P.O.Box 6065, 13083–970 Campinas, SP, Brazil
b Departamento de Matemática, Universidade de Brasília, 70910–900 Brasiacute;lia, DF, Brazil
c Departamento de Matemática, Universidade Federal de Goiás, Campus de Catalão, 75705–220 Catalão, GO, Brazil
Full-text PDF (212 kB) Citations (1)
Abstract: In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras $G_k$ over an infinite field $F$ of characteristic $\ne 2$. We exhibit a set of generators of $C(G_k)$, the T-space of the central polynomials of $G_k$ in a free associative $F$-algebra.
Keywords: polynomial identities, central polynomials, Grassmann algebra.
Received: 31.08.2009
Revised: 21.09.2009
Bibliographic databases:
Document Type: Article
MSC: 16R10
Language: English
Citation: Plamen Koshlukov, Alexei Krasilnikov, Élida Alves da Silva, “The central polynomials for the finite dimensional Grassmann algebras”, Algebra Discrete Math., 2009, no. 3, 69–76
Citation in format AMSBIB
\Bibitem{KosKraSil09}
\by Plamen~Koshlukov, Alexei~Krasilnikov, \'Elida~Alves~da~Silva
\paper The central polynomials for the finite dimensional Grassmann algebras
\jour Algebra Discrete Math.
\yr 2009
\issue 3
\pages 69--76
\mathnet{http://mi.mathnet.ru/adm135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2640389}
\zmath{https://zbmath.org/?q=an:1192.16019}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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