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On the Iyama-Yoshino reduction in extriangulated categories

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arxiv 2401.17516 v2 pith:YDJUPJEQ submitted 2024-01-31 math.RT

classification math.RT
keywords extriangulatedcategoriescategorygeneralprocessreductiontriangulatedadmits
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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.

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