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Makoto Kato
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Top Questions
133
votes
Classification of prime ideals of $\mathbb{Z}[X]$
abstract-algebra
commutative-algebra
ideals
prime-ideals
asked Jul 24 '12 at 9:38
math.stackexchange.com
68
votes
Is memory unimportant in doing mathematics?
soft-question
learning
asked Nov 17 '12 at 1:44
math.stackexchange.com
60
votes
Is an automorphism of the field of real numbers the identity map?
abstract-algebra
field-theory
real-numbers
asked Jul 22 '13 at 12:00
math.stackexchange.com
44
votes
Are the exercises necessary to understand the subject of a mathematical textbook?
soft-question
learning
asked Jun 28 '12 at 2:29
math.stackexchange.com
40
votes
Mnemonic for the fact that a right(left) adjoint functor preserves limits(colimits)
category-theory
adjoint-functors
asked Jan 5 '13 at 15:55
math.stackexchange.com
33
votes
Do native speakers distinguish well the pronunciations of "L" and "R"?
pronunciation
phonetics
consonants
asked Oct 12 '15 at 0:50
ell.stackexchange.com
33
votes
Unramification of a prime ideal in an order of a finite Galois extension of an algebraic number field
algebraic-number-theory
asked Aug 17 '12 at 6:22
math.stackexchange.com
27
votes
A natural proof of the Cauchy-Schwarz inequality
functional-analysis
inequality
asked Jul 5 '13 at 5:31
math.stackexchange.com
26
votes
Differentiable manifolds as locally ringed spaces
differential-geometry
sheaf-theory
asked Oct 30 '12 at 21:16
math.stackexchange.com
26
votes
"No more Hiroshima" or "No more Hiroshimas"
grammatical-number
proper-nouns
negative
asked Jan 14 '15 at 10:52
ell.stackexchange.com
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Top Answers
79
Is an automorphism of the field of real numbers the identity map?
math.stackexchange.com
55
Abelian categories and axiom (AB5)
math.stackexchange.com
48
Is there a purely algebraic proof of the Fundamental Theorem of Algebra?
math.stackexchange.com
32
Verifying that the ideal $(x^3-y^2)$ is prime
math.stackexchange.com
32
Constructing a Galois extension field with Galois group $S_n$
math.stackexchange.com
26
Prove that $\mathbb{R^*}$, the set of all real numbers except $0$, is not a cyclic group
math.stackexchange.com
25
Spivak's proof of Inverse Function Theorem
math.stackexchange.com
24
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
math.stackexchange.com
22
nontrivial theorems with trivial proofs
mathoverflow.net
22
How can I prove formally that the projective plane is a Hausdorff space?
math.stackexchange.com
20
Find all subgroups of $\mathbb{Z}\times\mathbb{Z}$.
math.stackexchange.com
20
Why a polynomial is solvable by radicals iff its Galois group is solvable, when $char(F)=0$?
math.stackexchange.com
18
Showing a homomorphism of a field algebraic over $\mathbb{Q}$ to itself is an isomorphism.
math.stackexchange.com
17
Compositum of abelian Galois extensions is also?
math.stackexchange.com
17
Find the number of non-zero squares in the field $Zp$
math.stackexchange.com
16
Prove $\sin x$ is uniformly continuous on $\mathbb R$
math.stackexchange.com
16
If $K$ is an extension field of $\mathbb{Q}$ such that $[K:\mathbb{Q}]=2$, prove that $K=\mathbb{Q}(\sqrt{d})$ for some square free integer $d$
math.stackexchange.com
14
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
math.stackexchange.com
14
Theorems with an extraordinary exception or a small number of sporadic exceptions
math.stackexchange.com
14
Why are topological spaces interesting to study?
math.stackexchange.com
13
Morphism of Affine Algebraic Variety
math.stackexchange.com
13
How are tangent spaces defined through equivalence classes of curves?
math.stackexchange.com
13
Why is the tensor product important when we already have direct and semidirect products?
math.stackexchange.com
12
An automorphism of the field of $p$-adic numbers
math.stackexchange.com
12
Example of nonabelian group with all proper subgroups normal
math.stackexchange.com
12
Finitely generated modules in exact sequence
math.stackexchange.com
12
Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.
math.stackexchange.com
12
how to show that power series is analytic inside the radius of convergence?
math.stackexchange.com
12
Sheafification of a presheaf through the etale space
math.stackexchange.com
11
Constructing a Galois extension field with Galois group $S_n$
math.stackexchange.com
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