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Some remarks on homologically finite subcategories

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Abstract

Let \(\Lambda \) be an Artin algebra and \(\mathcal {C}\) a full subcategory of \(\Lambda \)-mod closed under direct summands and closed under extensions. It is known that if \(\mathcal {C}\) is functorially finite, then it has almost split sequences. Here we review an example of a covariantly finite subcategory that has right almost split morphisms except for one isomorphism class, and we compute its almost split sequences.

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Acknowledgements

We thank the support of project Profocie 2015-31-12.

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  1. Facultad de Matemáticas de la Universidad Autónoma de Yucatán, Periférico Norte, Tablaje 13615, junto al local del FUTV, Mérida, Yucatán, México

    Sergio Santiago Chan Castro, Alejandro Waldemar Cobá Magaña & Jesús Efrén Pérez Terrazas

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  1. Sergio Santiago Chan Castro
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  2. Alejandro Waldemar Cobá Magaña
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  3. Jesús Efrén Pérez Terrazas
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Correspondence to Jesús Efrén Pérez Terrazas.

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Chan Castro, S.S., Cobá Magaña, A.W. & Pérez Terrazas, J.E. Some remarks on homologically finite subcategories. Bol. Soc. Mat. Mex. 24, 329–341 (2018). https://doi.org/10.1007/s40590-017-0174-6

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  • DOI: https://doi.org/10.1007/s40590-017-0174-6

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