List questions from monomorphisms

Published on 25 Mar 2026 - 13:59

87

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Confusing Exercise in Hilton/Stammbach's A Course in Homological Algebra

Published on 17 May 2021 - 16:07

98

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Do open continuous maps/local homeomorphisms between locales possess adjoints?

Published on 23 Feb 2026 - 9:06

163

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$E(M)$ is indecomposible if and only if $M$ is uniform.

Published on 23 Jun 2021 - 7:45

60

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Categories with colimit-stable monomorphisms

Published on 29 Jun 2021 - 15:43

54

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Doubt proving that $(\forall f,f' \quad g\circ f = g\circ f' \implies f=f' ) \implies g \text{ is injective}$?

Published on 15 Sep 2021 - 1:24

111

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In general, how does one show that a mapping between two groups is a monomorphism? Example included.

Published on 21 Oct 2021 - 23:09

428

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Why doesn't the localization map $A \to A_f$ show that open embeddings of schemes are not always monomorphisms?

Published on 29 Oct 2021 - 22:41

60

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Morphism between free abelian groups is 1-1; Vick Prop. 1.9

Published on 03 Nov 2021 - 0:37

130

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Monomorphism and mapping of vector spaces

Published on 03 Nov 2021 - 22:27

62

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Are monomorphisms in the category of Artinian rings injective?

Published on 24 Mar 2026 - 17:42

35

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Monomorphism between ${\rm GL}(1,4)$ and ${\rm GL}(2,2)$ that corresponds to the inclusion of $A_3$ in $S_3$

Published on 08 Dec 2021 - 15:43

267

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Injective map of schemes that is not a monomorphism

Published on 18 Dec 2021 - 12:05

108

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Interchange map in simplicial sets is a monomorphism?

Published on 01 Mar 2022 - 1:52

68

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Example of non-balanced category.

Published on 25 Mar 2026 - 15:39

List Question

correspondence between epi and monos

Confusing Exercise in Hilton/Stammbach's A Course in Homological Algebra

Do open continuous maps/local homeomorphisms between locales possess adjoints?

$E(M)$ is indecomposible if and only if $M$ is uniform.

Categories with colimit-stable monomorphisms

Doubt proving that $(\forall f,f' \quad g\circ f = g\circ f' \implies f=f' ) \implies g \text{ is injective}$?

In general, how does one show that a mapping between two groups is a monomorphism? Example included.

Why doesn't the localization map $A \to A_f$ show that open embeddings of schemes are not always monomorphisms?

Morphism between free abelian groups is 1-1; Vick Prop. 1.9

Monomorphism and mapping of vector spaces

Are monomorphisms in the category of Artinian rings injective?

Monomorphism between ${\rm GL}(1,4)$ and ${\rm GL}(2,2)$ that corresponds to the inclusion of $A_3$ in $S_3$

Injective map of schemes that is not a monomorphism

Interchange map in simplicial sets is a monomorphism?

Example of non-balanced category.

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