| dc.creator | Alves, SM | |
| dc.creator | Koshlukov, P | |
| dc.date | 2006 | |
| dc.date | 42309 | |
| dc.date | 2014-11-19T02:54:52Z | |
| dc.date | 2015-11-26T17:01:03Z | |
| dc.date | 2014-11-19T02:54:52Z | |
| dc.date | 2015-11-26T17:01:03Z | |
| dc.date.accessioned | 2018-03-28T23:48:51Z | |
| dc.date.available | 2018-03-28T23:48:51Z | |
| dc.identifier | Journal Of Algebra. Academic Press Inc Elsevier Science, v. 305, n. 2, n. 1149, n. 1165, 2006. | |
| dc.identifier | 0021-8693 | |
| dc.identifier | WOS:000245638800030 | |
| dc.identifier | 10.1016/j.jalgebra.2006.04.009 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/70749 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/70749 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/70749 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1278636 | |
| dc.description | The verbally prime algebras are well understood in characteristic 0 while over a field of positive characteristic p > 2 little is known about them. In previous papers we discussed some sharp differences between these two cases for the characteristic, and we showed that the so-called Tensor Product Theorem is in part no Ion-er valid in the second case. In this paper we study the Gelfand-Kirillov dimension of the relatively free algebras of verbally prime and related algebras. We compute the GK dimensions of several algebras and thus obtain a new proof of the fact that the algebras M-1,M-1 (E) and E circle times E are not PI equivalent in characteristic p > 2. Furthermore we show that the following algebras are not PI equivalent in positive characteristic: M-a,M-b(E) circle times E and Ma+b(E); M-a,M-b(E) circle times E and M-c,M-d(E) circle times E when a + b = c + d, a >= b, c >= d and a not equal c;, and finally, M-1,M-1 (E) circle times M-1,M-1 (E) and M-2,M-2(E). Here E stands for the infinite-dimensional Grassmann algebra with 1, and M-a,M-b(E) is the subalgebra Of Ma+b(E) of the block matrices with blocks a x a and b x b on the main diagonal with entries from E-0, and off-diagonal entries from E-1; E = E-0 circle times E-1 is the natural grading on E. (c) 2006 Elsevier Inc. All rights reserved. | |
| dc.description | 305 | |
| dc.description | 2 | |
| dc.description | 1149 | |
| dc.description | 1165 | |
| 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 | graded identities | |
| dc.subject | verbally prime algebra | |
| dc.subject | GK-dimension | |
| dc.subject | Graded Identities | |
| dc.subject | Grassmann Algebras | |
| dc.subject | Tensor-products | |
| dc.subject | Pi-algebras | |
| dc.subject | Theorems | |
| dc.subject | Fields | |
| dc.title | Polynomial identities of algebras in positive characteristic | |
| dc.type | Artículos de revistas | |
