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The Jordan-Hölder property and Grothendieck monoids of exact categories

By Haruhisa Enomoto
We investigate the Jordan-H\"older property (JHP) in exact categories. First we introduce Grothendieck monoids of exact categories, and show that (JHP) holds if and only if the Grothendieck monoid is free. Moreover, we give a criterion for this which only uses the Grothendieck group and the number of simple objects.... Show more
December 2, 2019
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The Jordan-Hölder property and Grothendieck monoids of exact categories
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