Abstract
We will now study the maximal ideals of a preadditive category C. We say that an ideal M of a preadditive category C is maximal if the improper ideal HomC of C is the unique ideal of the category C properly containing M. Obviously, if all objects of C are zero objects, maximal ideals do not exist in C. In this section, we will characterize maximal ideals in preadditive categories.
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Facchini, A. (2019). Semilocal Categories and Their Maximal Ideals. In: Semilocal Categories and Modules with Semilocal Endomorphism Rings. Progress in Mathematics, vol 331. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23284-9_7
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DOI: https://doi.org/10.1007/978-3-030-23284-9_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-23283-2
Online ISBN: 978-3-030-23284-9
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