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arXiv · 2207.13562

Homogeneous involution on graded division algebras and their polynomial identities

Felipe Yukihide Yasumura
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Abstract

In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L. Fonseca and T. de Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution.

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Felipe Yukihide Yasumura. 2022-07-27. Homogeneous involution on graded division algebras and their polynomial identities. https://doi.org/10.1142/s0219498824501329

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