| Full text | |
| Author(s): |
Brandao, Jr., Antonio Pereira
;
Goncalves, Dimas Jose
;
Koshlukov, Plamen
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 26, n. 8, p. 1617-1631, DEC 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
Let F be a field of characteristic 0 and let R = M-2(F). The algebra R admits a natural grading R = R-0 circle plus R-1 by the cyclic group Z(2) of order 2. In this paper, we describe the Z(2)-graded A-identities for R. Recall that an A-identity for an algebra is a multilinear polynomial identity for that algebra which is a linear combination of the monomials x(sigma)(1) . . . x(sigma)(n) where sigma runs over all even permutations of [1,..., n] that is sigma is an element of A(n), the nth alternating group. We first introduce the notion of an A-identity in the case of graded polynomials, then we describe the graded A-identities for R, and finally we compute the corresponding graded A-codimensions. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |