On the Iyama–Yoshino reduction in extriangulated categories

Abstract 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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Publication Details

Journal
Boletín de la Sociedad Matemática Mexicana
Published
2026-02-16
DOI
https://doi.org/10.1007/s40590-026-00862-9
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

On the Iyama–Yoshino reduction in extriangulated categories

Mindy Y. Huerta
Boletín de la Sociedad Matemática Mexicana
Algebraic structures and combinatorial models
article

On the Iyama–Yoshino reduction in extriangulated categories

Mindy Y. Huerta
article en

Abstract

Abstract 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.

Boletín de la Sociedad Matemática MexicanaVol. 32(1)
Universidad Nacional Autónoma de México (MX)
Reduced inequalities
Openalex Percentile: Top 50%
Algebraic structures and combinatorial models
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On the Iyama–Yoshino reduction in extriangulated categories — Mindy Y. Huerta · Boletín de la Sociedad Matemática Mexicana (2026) | TGRS Research Map | TGRS