Question

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

score 86 · Answer 1 · 2026-04-16 16:56:02

86

Views

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

Published on 16 Apr 2026 - 16:56

score 52 · Answer 2 · 2026-03-25 10:53:36

52

Views

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

Published on 25 Mar 2026 - 10:53

score 111 · Answer 3 · 2026-05-10 19:10:23

111

Views

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

Published on 10 May 2026 - 19:10

score 51 · Answer 4 · 2026-03-25 09:32:20

51

Views

Is $\phi$ a groupoid monomorphism?

Published on 25 Mar 2026 - 9:32

score 31 · Answer 5 · 2026-03-25 09:26:12

31

Views

Define the image of a composition of maps

Published on 25 Mar 2026 - 9:26

score 90 · Answer 6 · 2026-04-26 03:15:56

90

Views

Concrete category with a certain property involving monomorphisms

Published on 26 Apr 2026 - 3:15

score 267 · Answer 7 · 2026-03-25 09:33:40

267

Views

Monomorphism definition counterexample

Published on 25 Mar 2026 - 9:33

score 53 · Answer 8 · 2026-03-25 11:05:20

53

Views

Mapping of a finite set onto itself

Published on 25 Mar 2026 - 11:05

score 61 · Answer 9 · 2026-03-25 09:32:41

61

Views

Left exact functors preserve injective objects

Published on 25 Mar 2026 - 9:32

score 33 · Answer 10 · 2026-04-27 22:01:13

33

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 27 Apr 2026 - 22:01

score 38 · Answer 11 · 2026-04-27 20:12:18

38

Views

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

Published on 27 Apr 2026 - 20:12

score 34 · Answer 12 · 2026-04-15 07:44:33

34

Views

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

Published on 15 Apr 2026 - 7:44

score 27 · Answer 13 · 2026-03-25 09:29:51

27

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 25 Mar 2026 - 9:29

score 52 · Answer 14 · 2026-03-25 10:53:33

52

Views

About the universal morphism from the pushout of monomorphisms.

Published on 25 Mar 2026 - 10:53

score 946 · Answer 15 · 2026-05-10 21:28:43

946

Views

Motivation behind the definition of monomorphism and epimorphism in category theory

Published on 10 May 2026 - 21:28

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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