| dc.date | 2016 | |
| dc.date | 2016-12-06T17:44:10Z | |
| dc.date | 2016-12-06T17:44:10Z | |
| dc.date.accessioned | 2018-03-29T02:00:55Z | |
| dc.date.available | 2018-03-29T02:00:55Z | |
| dc.identifier | | |
| dc.identifier | International Journal Of Algebra And Computation. World Scientific Publishing Co. Pte Ltd, v. 26, p. 1 - 16, 2016. | |
| dc.identifier | 02181967 | |
| dc.identifier | 10.1142/S0218196716500478 | |
| dc.identifier | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84980338823&partnerID=40&md5=582c399a0077bdaad0f115545232c4b0 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/319497 | |
| dc.identifier | 2-s2.0-84980338823 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1310265 | |
| dc.description | 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 | |
| dc.description | 26 | |
| dc.description | | |
| dc.description | 1 | |
| dc.description | 16 | |
| dc.description | | |
| dc.description | | |
| dc.language | en | |
| dc.publisher | World Scientific Publishing Co. Pte Ltd | |
| dc.relation | International Journal of Algebra and Computation | |
| dc.rights | fechado | |
| dc.source | Scopus | |
| dc.title | A Note On Graded Polynomial Identities For Tensor Products By The Grassmann Algebra In Positive Characteristic | |
| dc.type | Artículos de revistas | |
