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add missing special morphisms to R-Mod_div
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3 files changed

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database/data/007_special-morphisms/002_isomorphisms.sql

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@@ -210,6 +210,11 @@ VALUES
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'bijective $R$-linear maps',
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'This characterization holds in every algebraic category.'
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),
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(
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'R-Mod_div',
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'bijective $R$-linear maps',
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'This characterization holds in every algebraic category.'
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),
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(
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'real_interval',
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'only the identity morphisms',

database/data/007_special-morphisms/003_monomorphisms.sql

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@@ -205,6 +205,11 @@ VALUES
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'injective $R$-linear maps',
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'This holds in every finitary algebraic category: the forgetful functor to $\mathbf{Set}$ is faithful, hence reflects monomorphisms, and it is continuous (even representable), hence preserves monomorphisms.'
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),
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(
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'R-Mod_div',
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'injective $R$-linear maps',
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'This holds in every finitary algebraic category: the forgetful functor to $\mathbf{Set}$ is faithful, hence reflects monomorphisms, and it is continuous (even representable), hence preserves monomorphisms.'
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),
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(
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'real_interval',
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'every morphism',

database/data/007_special-morphisms/004_epimorphisms.sql

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'surjective $R$-linear maps',
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'The forgetful functor to abelian groups is faithful and preserves colimits, hence reflects and preserves epimorphisms. Alternatively, use the same proof as for abelian groups.'
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),
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(
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'R-Mod_div',
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'surjective $R$-linear maps',
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'The forgetful functor to abelian groups is faithful and preserves colimits, hence reflects and preserves epimorphisms. Alternatively, use the same proof as for abelian groups.'
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),
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(
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'real_interval',
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'every morphism',

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