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<p>In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that, in general, this new category is extriangulated, but not necessarily triangulated.</p>

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On the Iyama–Yoshino reduction in extriangulated categories

  • 期刊论文

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  • 发表日期：

    2026年2月16日

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  • Mindy Y. Huerta

摘要

In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that, in general, this new category is extriangulated, but not necessarily triangulated.