A-identities for the 2×2 matrix algebra

A-identities for the 2×2 matrix algebra

Let K be an algebraically closed field of characteristic zero. We prove that the minimum degree for A -identities of M 2 ( K ) is 6. We also construct an explicit A -polynomial of degree 6 and prove it is an A -identity.

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Veröffentlicht in:Archiv der Mathematik 2016-05, Vol.106 (5), p.417-429
Hauptverfasser: Gonçalves, Dimas José, Schützer, Waldeck, Talpo, Humberto Luiz
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let K be an algebraically closed field of characteristic zero. We prove that the minimum degree for A -identities of M 2 ( K ) is 6. We also construct an explicit A -polynomial of degree 6 and prove it is an A -identity.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-016-0882-6