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Type: Artigo de periódico
Author: Brandao, AP
Koshlukov, P
Krasilnikov, A
da Silva, EA
Abstract: In this paper we describe the central polynomials for the infinite-dimensional unitary Grassmann algebra G over an infinite field F of characteristic not equal 2. We exhibit a set of polynomials that generates the vector space C( G) of the central polynomials of G as a T-space. Using a deep result of Shchigolev we prove that if char F = p > 2 then the T-space C( G) is not finitely generated. Moreover, over such a field F, C( G) is a limit T-space, that is, C( G) is not a finitely generated T-space but every larger T-space W not greater than or equal to C( G) is. We obtain similar results for the infinite-dimensional non-unitary Grassmann algebra H as well.
Country: Israel
Editor: Hebrew Univ Magnes Press
Citation: Israel Journal Of Mathematics. Hebrew Univ Magnes Press, v. 179, n. 1, n. 127, n. 144, 2010.
Rights: fechado
Identifier DOI: 10.1007/s11856-010-0074-1
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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