Question

Prove $S/\operatorname{Ker}(\alpha) \cong (\operatorname{Im}\alpha)$ where $\alpha: S \rightarrow T$ is a ring homomorphism

score 69 · Answer 1 · 2026-04-16 16:00:38

69

Views

Prove $S/\operatorname{Ker}(\alpha) \cong (\operatorname{Im}\alpha)$ where $\alpha: S \rightarrow T$ is a ring homomorphism

Published on 16 Apr 2026 - 16:00

score 107 · Answer 2 · 2026-04-16 23:00:22

107

Views

Special case of Complex Vector Space diagonalizable condition

Published on 16 Apr 2026 - 23:00

score 75 · Answer 3 · 2026-05-02 17:53:15

75

Views

A function $g(x)$ has one and only one real root if $g'(x)\leq k <0$.

Published on 02 May 2026 - 17:53

score 54 · Answer 4 · 2026-05-10 21:59:03

54

Views

Every coalgebra is the quotient of a cosemisimple.

Published on 10 May 2026 - 21:59

score 132 · Answer 5 · 2026-04-12 00:31:08

132

Views

Possibilities for invariant factors of given characteristic polynomial

Published on 12 Apr 2026 - 0:31

score 111 · Answer 6 · 2026-04-10 16:47:12

111

Views

Conditional Probability and Shark Attacks

Published on 10 Apr 2026 - 16:47

score 48 · Answer 7 · 2026-05-03 09:16:48

48

Views

Proving the following is surjective (not sure about my solution)

Published on 03 May 2026 - 9:16

score 108 · Answer 8 · 2026-04-16 01:29:59

108

Views

Prove $\vdash \neg(A\equiv B) \equiv \neg A\equiv B$

Published on 16 Apr 2026 - 1:29

score 461 · Answer 9 · 2026-04-12 15:48:15

461

Views

Discrete math - show argument is valid using rules of inference and the logical equivalences

Published on 12 Apr 2026 - 15:48

score 717 · Answer 10 · 2026-04-16 02:06:10

717

Views

Logical equivalences - show argument is valid

Published on 16 Apr 2026 - 2:06

score 761 · Answer 11 · 2026-04-13 10:48:38

761

Views

What is the relationship between the radical of the Killing form and the radical of a Lie algebra?

Published on 13 Apr 2026 - 10:48

score 119 · Answer 12 · 2026-04-30 23:20:20

119

Views

If $\mathfrak{g} / I$ is semisimple, then is $\mathrm{rad}(\mathfrak{g}) \subset I$?

Published on 30 Apr 2026 - 23:20

score 135 · Answer 13 · 2026-04-13 17:26:43

135

Views

Is the image of an ideal under a surjective Lie algebra homomorphism an ideal?

Published on 13 Apr 2026 - 17:26

score 127 · Answer 14 · 2026-04-15 22:26:25

127

Views

Suppose $f(x)$ has continuous second-order derivative over $(a,+\infty)$, and $f(x)>0$,$f''(x)\leq 0$. Prove $f'(x)\geq 0$.

Published on 15 Apr 2026 - 22:26

score 50 · Answer 15 · 2026-04-14 07:46:07

50

Views

Proof of well-ordering of $\mathbb{N}$ using modified induction and contraposition.

Published on 14 Apr 2026 - 7:46

List Question

Prove $S/\operatorname{Ker}(\alpha) \cong (\operatorname{Im}\alpha)$ where $\alpha: S \rightarrow T$ is a ring homomorphism

Special case of Complex Vector Space diagonalizable condition

A function $g(x)$ has one and only one real root if $g'(x)\leq k <0$.

Every coalgebra is the quotient of a cosemisimple.

Possibilities for invariant factors of given characteristic polynomial

Conditional Probability and Shark Attacks

Proving the following is surjective (not sure about my solution)

Prove $\vdash \neg(A\equiv B) \equiv \neg A\equiv B$

Discrete math - show argument is valid using rules of inference and the logical equivalences

Logical equivalences - show argument is valid

What is the relationship between the radical of the Killing form and the radical of a Lie algebra?

If $\mathfrak{g} / I$ is semisimple, then is $\mathrm{rad}(\mathfrak{g}) \subset I$?

Is the image of an ideal under a surjective Lie algebra homomorphism an ideal?

Suppose $f(x)$ has continuous second-order derivative over $(a,+\infty)$, and $f(x)>0$,$f''(x)\leq 0$. Prove $f'(x)\geq 0$.

Proof of well-ordering of $\mathbb{N}$ using modified induction and contraposition.

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