Question

Is there a name for a morphism which makes a left inverse act like a two-sided inverse?

score 83 · Answer 1 · 2026-02-23 10:22:33

83

Views

Is there a name for a morphism which makes a left inverse act like a two-sided inverse?

Published on 23 Feb 2026 - 10:22

score 51 · Answer 2 · 2023-08-12 21:15:01

51

Views

Why is the map from the kernel to the domain always a monomorphism?

Published on 12 Aug 2023 - 21:15

score 98 · Answer 3 · 2026-03-24 19:06:37

98

Views

Are monos in epis and epis in monos also monic or epic in the entire category?

Published on 24 Mar 2026 - 19:06

score 50 · Answer 4 · 2023-11-14 13:19:47

50

Views

Is $\phi$ a groupoid monomorphism?

Published on 14 Nov 2023 - 13:19

score 30 · Answer 5 · 2023-12-12 15:20:18

30

Views

Define the image of a composition of maps

Published on 12 Dec 2023 - 15:20

score 78 · Answer 6 · 2026-03-21 17:50:02

78

Views

Concrete category with a certain property involving monomorphisms

Published on 21 Mar 2026 - 17:50

score 266 · Answer 7 · 2024-01-15 16:32:28

266

Views

Monomorphism definition counterexample

Published on 15 Jan 2024 - 16:32

score 52 · Answer 8 · 2024-01-24 06:17:48

52

Views

Mapping of a finite set onto itself

Published on 24 Jan 2024 - 6:17

score 60 · Answer 9 · 2024-01-28 20:39:37

60

Views

Left exact functors preserve injective objects

Published on 28 Jan 2024 - 20:39

score 27 · Answer 10 · 2026-02-23 08:00:02

27

Views

How do I prove the unicity of the terminal morphism obtained by being a equivalent monomorphism to one which has a terminal object as domain?

Published on 23 Feb 2026 - 8:00

score 33 · Answer 11 · 2026-03-11 00:35:33

33

Views

Does the composition of a monic morphism with a terminal morphism make a monic morphism?

Published on 11 Mar 2026 - 0:35

score 31 · Answer 12 · 2024-01-30 23:54:45

31

Views

Is a canonical morphism from the wedge sum to the product monic? A section?

Published on 30 Jan 2024 - 23:54

score 26 · Answer 13 · 2024-03-20 05:56:10

26

Views

Show that if $G$ is the right adjoint of restriction-of-scalars along any ring homomorphisms $A\to B$, then $G$ is always a monomorphism

Published on 20 Mar 2024 - 5:56

score 51 · Answer 14 · 2024-03-21 10:19:57

51

Views

About the universal morphism from the pushout of monomorphisms.

Published on 21 Mar 2024 - 10:19

score 944 · Answer 15 · 2015-02-16 18:11:41

944

Views

Motivation behind the definition of monomorphism and epimorphism in category theory

Published on 16 Feb 2015 - 18:11

List Question

Is there a name for a morphism which makes a left inverse act like a two-sided inverse?

Why is the map from the kernel to the domain always a monomorphism?

Are monos in epis and epis in monos also monic or epic in the entire category?

Is $\phi$ a groupoid monomorphism?

Define the image of a composition of maps

Concrete category with a certain property involving monomorphisms

Monomorphism definition counterexample

Mapping of a finite set onto itself

Left exact functors preserve injective objects

How do I prove the unicity of the terminal morphism obtained by being a equivalent monomorphism to one which has a terminal object as domain?

Does the composition of a monic morphism with a terminal morphism make a monic morphism?

Is a canonical morphism from the wedge sum to the product monic? A section?

Show that if $G$ is the right adjoint of restriction-of-scalars along any ring homomorphisms $A\to B$, then $G$ is always a monomorphism

About the universal morphism from the pushout of monomorphisms.

Motivation behind the definition of monomorphism and epimorphism in category theory

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