| dc.creator | Azevedo, SS | |
| dc.creator | Fidelis, M | |
| dc.creator | Koshlukov, P | |
| dc.date | 2004 | |
| dc.date | 42156 | |
| dc.date | 2014-11-19T21:02:57Z | |
| dc.date | 2015-11-26T17:30:37Z | |
| dc.date | 2014-11-19T21:02:57Z | |
| dc.date | 2015-11-26T17:30:37Z | |
| dc.date.accessioned | 2018-03-29T00:17:31Z | |
| dc.date.available | 2018-03-29T00:17:31Z | |
| dc.identifier | Journal Of Algebra. Academic Press Inc Elsevier Science, v. 276, n. 2, n. 836, n. 845, 2004. | |
| dc.identifier | 0021-8693 | |
| dc.identifier | WOS:000221620900020 | |
| dc.identifier | 10.1016/j.jalgebra.2004.01.004 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78570 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/78570 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/78570 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1285555 | |
| dc.description | In this paper we study tensor products of T-prime T-ideals over infinite fields. The behaviour of these tensor products over a field of characteristic 0 was described by Kemer. First we show, using methods due to Regev, that such a description holds if one restricts oneself to multilinear polynomials only. Second, applying graded polynomial identities, we prove that the tensor product theorem fails for the T-ideals of the algebras M-1,M-1 (E) and E circle times E where E is the infinite-dimensional Grassmann algebra; M-1.1(E) consists of the 2 x 2 matrices over E having even (i.e., central) elements of E, and the other diagonal consisting of odd (anticommuting) elements of E. Note that these proofs do not depend on the structure theory of T-ideals but are 'elementary' ones. All this comes to show once more that the structure theory of T-ideals is essentially about the multilinear polynomial identities. (C) 2004 Elsevier Inc. All rights reserved. | |
| dc.description | 276 | |
| dc.description | 2 | |
| dc.description | 836 | |
| dc.description | 845 | |
| dc.language | en | |
| dc.publisher | Academic Press Inc Elsevier Science | |
| dc.publisher | San Diego | |
| dc.publisher | EUA | |
| dc.relation | Journal Of Algebra | |
| dc.relation | J. Algebra | |
| dc.rights | fechado | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | T-prime T-ideal | |
| dc.subject | variety of algebras | |
| dc.subject | polynomial identities | |
| dc.subject | graded identities | |
| dc.subject | Polynomial-identities | |
| dc.subject | Grassmann Algebra | |
| dc.subject | Graded Identities | |
| dc.subject | Fields | |
| dc.title | Tensor product theorems in positive characteristic | |
| dc.type | Artículos de revistas | |
