Abstract
On the one hand, we characterize additive categories among the protomodular ones, and, from that, we highlight the even more classical concept of abelian categories. On the other hand, we characterize the categories whose any object is equipped with a natural internal monoid structure or with a natural internal group structure.
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Bourn, D. (2017). Linear and additive categories. In: From Groups to Categorial Algebra. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-57219-2_6
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DOI: https://doi.org/10.1007/978-3-319-57219-2_6
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-57218-5
Online ISBN: 978-3-319-57219-2
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