Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/319497
Type: Artigo de periódico
Title: A Note On Graded Polynomial Identities For Tensor Products By The Grassmann Algebra In Positive Characteristic
Abstract: Let (Formula presented.) be a finite abelian group. As a consequence of the results of Di Vincenzo and Nardozza, we have that the generators of the (Formula presented.)-ideal of (Formula presented.)-graded identities of a (Formula presented.)-graded algebra in characteristic 0 and the generators of the (Formula presented.)-ideal of (Formula presented.)-graded identities of its tensor product by the infinite-dimensional Grassmann algebra (Formula presented.) endowed with the canonical grading have pairly the same degree. In this paper, we deal with (Formula presented.)-graded identities of (Formula presented.) over an infinite field of characteristic (Formula presented.), where (Formula presented.) is (Formula presented.) endowed with a specific (Formula presented.)-grading. We find identities of degree (Formula presented.) and (Formula presented.) while the maximal degree of a generator of the (Formula presented.)-graded identities of (Formula presented.) is (Formula presented.) if (Formula presented.). Moreover, we find a basis of the (Formula presented.)-graded identities of (Formula presented.) and also a basis of multihomogeneous polynomials for the relatively free algebra. Finally, we compute the (Formula presented.)-graded Gelfand–Kirillov (GK) dimension of (Formula presented.). © 2016 World Scientific Publishing Company
Editor: World Scientific Publishing Co. Pte Ltd
Rights: fechado
Identifier DOI: 10.1142/S0218196716500478
Address: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84980338823&partnerID=40&md5=582c399a0077bdaad0f115545232c4b0
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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