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<p>Let 𝔽 be an infinite field and let ℳ<sub><i>n</i></sub>(𝔽) be the space of all <i>n</i> × <i>n</i> matrices over 𝔽. The paper provides a characterization of all the linear maps on ℳ<sub><i>n</i></sub> that preserve matrix discriminant. The Pierce result on these maps is improved.</p>

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Linear Maps Preserving Matrix Discriminant

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. Yurkov

摘要

Let 𝔽 be an infinite field and let ℳn(𝔽) be the space of all n × n matrices over 𝔽. The paper provides a characterization of all the linear maps on ℳn that preserve matrix discriminant. The Pierce result on these maps is improved.