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Mathematics
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zyy
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question
9
How do mathematicians propose new theorems?
Jun 4, 2022
question
6
Prove or disprove a converse to l'Hospital's rule
Apr 22, 2022
question
6
What is the connection between the two definitions of homology in 1.1 of Rotman's An Introduction to Homological Algebra?
Mar 16, 2023
question
5
Normal subgroups of direct product of non-abelian simple groups (Exercise 18 from Chapter 4.5 of Dummit's book)
Jul 2, 2022
question
4
Let $A$ be a finite-dimensional $k$-algebra and $V$ a completely reducible $A$-module. Show that the algebra $A_V$ is semisimple.
Oct 20, 2023
question
4
Understanding a proof of Wedderburn decomposition in Weintraub's *Representation theory of finite groups*
Aug 14, 2023
question
4
Two definitions of singular points on (possibly reducible) affine varieties
Aug 6
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4
A proof that two subfields of the same finite field equal if they have the same size
Jul 23, 2023
question
4
On Shafarevich's proof that nonsingular points form an open set
Jul 24
question
4
A phenomenon arisen from the civil service entrance examination (seemingly related to algebraic topology)
Sep 13, 2024

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5
Intuitions for Frobenius' generalization of characters to nonabelian finite group given the historical context