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

✍ Scribed by da Silva e Silva, Diogo Diniz Pereira

Book ID
122055942
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
325 KB
Volume
439
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

A Basis for the Graded Identities of the
A Basis for the Graded Identities of the Matrix Algebra of Order Two over a Finite Field of Characteristic p≠2
✍ Plamen Koshlukov; SΓ©rgio S. Azevedo πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let K be a finite field of characteristic p > 2, and let M 2 ðKÞ be the matrix algebra of order two over K. We describe up to a graded isomorphism the 2-gradings of M 2 ðKÞ. It turns out that there are only two nonisomorphic nontrivial such gradings. Furthermore, we exhibit finite bases of the grade