On the graded identities for elementary gradings in matrix algebras over infinite fields

We find a basis for the G-graded identities of the n×n matrix algebra Mn(K) over an infinite field K of characteristic p>0 with an elementary grading such that the neutral component corresponds to the diagonal of Mn(K).

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2013-09, Vol.439 (5), p.1530-1537
Main Author: da Silva e Silva, Diogo Diniz Pereira
Format: Article
Language:English
Subjects:
Elementary Grandings
Graded Polynomial Identities
Matrix Algebra
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We find a basis for the G-graded identities of the n×n matrix algebra Mn(K) over an infinite field K of characteristic p>0 with an elementary grading such that the neutral component corresponds to the diagonal of Mn(K).
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2013.04.033