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oliverjones
  • Member for 9 years, 8 months
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  • Wisconsin, United States
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13
if $a,b$ are nilpotent elements of a commutative ring $R$, show that $a+b$ is also nilpotent
Feb 18, 2015
12
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit [duplicate]
Mar 27, 2015
11
Convergent sequence in co-countable topology iff sequence is eventually constant
May 2, 2016
9
Let $f: [0 ,1] \to \mathbb{R} $ be continuous, prove $\lim_{n\to \infty} \int_0^1 f(x^n)dx = f(0)$
Jan 17, 2017
9
Show that $\mathbb{Q}(\sqrt{2 +\sqrt{2}})$ is a cyclic quartic field i.e. is a galois extension of degree 4 with cyclic galois group [duplicate]
May 28, 2015
8
Let $C \subseteq [0,1]$ be uncountable, show there exists $a \in (0,1)$ such that $C \cap [a,1] $ is uncountable
Sep 26, 2015
8
Commutative generators of a group
Jan 25, 2015
7
Prove $1+x$ is a unit in $R: \text{commutative ring}$ where $x$ is nilpotent [duplicate]
Mar 25, 2015
7
if $f:[0,1] \to \mathbb{R}$ is increasing, show that $f$ is the pointwise limit of a sequence of continuous functions over $[0,1]$ [duplicate]
Jul 25, 2017
7
Striking applications of linearity of expectation
Jan 14, 2021
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5
Stochastic SIR using SDEint python package