Question

If a Short Exact Sequence is Split-Exact, Does that Mean it is Left-Split?

score 67 · Answer 1 · 2023-10-27 03:15:14

67

Views

If a Short Exact Sequence is Split-Exact, Does that Mean it is Left-Split?

Published on 27 Oct 2023 - 3:15

score 42 · Answer 2 · 2026-03-26 14:29:04

42

Views

How Can We Prove Flatness from an Induced Exact Sequence?

Published on 26 Mar 2026 - 14:29

score 20 · Answer 3 · 2026-03-25 19:04:01

20

Views

Injectivity of special orthogonal group

Published on 25 Mar 2026 - 19:04

score 100 · Answer 4 · 2023-11-25 14:31:14

100

Views

What is the injective hull of the ring $R=\mathbb{R}[x]/(x^2)$?

Published on 25 Nov 2023 - 14:31

score 36 · Answer 5 · 2023-12-04 22:14:40

36

Views

Computing the injective hull, the quasi-injective hull, the quasi-continuous hull

Published on 04 Dec 2023 - 22:14

score 113 · Answer 6 · 2026-03-26 15:46:50

113

Views

Is an injective module an injective object in every full subcategory that contains it?

Published on 26 Mar 2026 - 15:46

score 148 · Answer 7 · 2023-12-28 21:59:20

148

Views

The injective hull of the ring of all eventually constant sequences of elements of $\mathbb{Z}_2$

Published on 28 Dec 2023 - 21:59

score 57 · Answer 8 · 2026-03-25 07:43:59

57

Views

Does an exact sequence of holonomic D-modules imply an exact sequence in the solution space?

Published on 25 Mar 2026 - 7:43

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 67 · Answer 10 · 2024-02-01 21:32:01

67

Views

Lemma 8, Section 4.3 of Hungerford’s Algebra

Published on 01 Feb 2024 - 21:32

score 52 · Answer 11 · 2024-02-04 21:18:47

52

Views

Proposition 13, Section 4.3 of Hungerford’s Algebra

Published on 04 Feb 2024 - 21:18

score 64 · Answer 12 · 2024-02-23 18:32:52

64

Views

When $f\colon\mathbb{Z}^{+} \to\mathbb{R}$ satisfys $f(2x)=2f(x)$, then is it injective?

Published on 23 Feb 2024 - 18:32

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 · 2026-03-26 16:06:59

52

Views

Is the quotient of an infinite product of fields by the direct sum injective?

Published on 26 Mar 2026 - 16:06

score 574 · Answer 15 · 2015-01-31 12:44:42

574

Views

What is the injective hull of residue field of $R/m^t$?

Published on 31 Jan 2015 - 12:44

List Question

If a Short Exact Sequence is Split-Exact, Does that Mean it is Left-Split?

How Can We Prove Flatness from an Induced Exact Sequence?

Injectivity of special orthogonal group

What is the injective hull of the ring $R=\mathbb{R}[x]/(x^2)$?

Computing the injective hull, the quasi-injective hull, the quasi-continuous hull

Is an injective module an injective object in every full subcategory that contains it?

The injective hull of the ring of all eventually constant sequences of elements of $\mathbb{Z}_2$

Does an exact sequence of holonomic D-modules imply an exact sequence in the solution space?

Left exact functors preserve injective objects

Lemma 8, Section 4.3 of Hungerford’s Algebra

Proposition 13, Section 4.3 of Hungerford’s Algebra

When $f\colon\mathbb{Z}^{+} \to\mathbb{R}$ satisfys $f(2x)=2f(x)$, then is it injective?

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

Is the quotient of an infinite product of fields by the direct sum injective?

What is the injective hull of residue field of $R/m^t$?

Trending Questions

Popular # Hahtags

Popular Questions