| dc.creator | Azevedo, SS | |
| dc.creator | Fidelis, M | |
| dc.creator | Koshlukov, P | |
| dc.date | 2005 | |
| dc.date | 2014-11-19T23:43:08Z | |
| dc.date | 2015-11-26T17:09:35Z | |
| dc.date | 2014-11-19T23:43:08Z | |
| dc.date | 2015-11-26T17:09:35Z | |
| dc.date.accessioned | 2018-03-28T23:58:14Z | |
| dc.date.available | 2018-03-28T23:58:14Z | |
| dc.identifier | Communications In Algebra. Taylor & Francis Inc, v. 33, n. 4, n. 1011, n. 1022, 2005. | |
| dc.identifier | 0092-7872 | |
| dc.identifier | WOS:000229104900004 | |
| dc.identifier | 10.1081/AGB-200053801 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68147 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/68147 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/68147 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1280661 | |
| dc.description | The algebras M-a,M-b(E) ⊗ E and Ma+b(E) are PI equivalent over a field of characteristic 0 where E is the infinite-dimensional Grassmann algebra. This result is a part of the well-known tensor product theorem. It was first proved by Kemer in 1984-1987 (see Kemer, 1991); other proofs of it were given by Regev (1990), and in several particular cases, by Di Vincenzo (1992), and by the authors (2004). Using graded polynomial identities, we obtain a new elementary proof of this fact and show that it fails for the T-ideals of the algebras M-1,M-1 (E) ⊗ E and M-2 (E) when the base field is infinite and of characteristic p > 2. The algebra M-a,M-a(E) ⊗ E satisfies certain graded identities that are not satisfied by M-2a (E). In another paper we proved that the algebras M-1,M-1 (E) and E ⊗ E are not PI equivalent in positive characteristic, while they do satisfy the same multilinear identities. | |
| dc.description | 33 | |
| dc.description | 4 | |
| dc.description | 1011 | |
| dc.description | 1022 | |
| dc.language | en | |
| dc.publisher | Taylor & Francis Inc | |
| dc.publisher | Philadelphia | |
| dc.publisher | EUA | |
| dc.relation | Communications In Algebra | |
| dc.relation | Commun. Algebr. | |
| dc.rights | fechado | |
| dc.rights | http://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp | |
| dc.source | Web of Science | |
| dc.subject | graded identities | |
| dc.subject | polynomial identities | |
| dc.subject | T-prime T-ideal | |
| dc.subject | Full Matrix Algebra | |
| dc.subject | Polynomial-identities | |
| dc.subject | Grassmann Algebra | |
| dc.subject | Tensor-products | |
| dc.subject | Order-n | |
| dc.subject | Fields | |
| dc.title | Graded identities and PI equivalence of algebras in positive characteristic | |
| dc.type | Artículos de revistas | |
