PAPER / ARXIV:2609.19797

On the trace identities of 2-dimensional tr-prime algebras over a finite field

Lucio Centrone , Rosiele Trindade Barbosa , Felipe Yasumura

RESUMO

We study associative algebras endowed with a trace map. We classify the two-dimensional trace-prime algebras over an arbitrary field. In addition, when the base field is finite, for each such algebra, we provide a finite basis for the T-ideal of trace polynomial identities.

NO MESMO MAPA

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