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Keywords:
comtrans algebras; $T$-Hermitian matrices; simple algebras
comtrans algebras; $T$-Hermitian matrices; simple algebras
Summary:
The paper studies multilinear algebras, known as comtrans algebras, that are determined by so-called $T$-Hermitian matrices over an arbitrary field. The main result of this paper shows that the comtrans algebra of $n$-dimensional $T$-Hermitian matrices furnishes a simple comtrans algebra.
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