Frank Murphy

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29 Answers

newest activity votes
4
one simple question in ring theory
4
Showing that if $R$ is local and $M$ an $R$-module, then $M \otimes_R (R/\mathfrak m) \cong M / \mathfrak m M$.
4
Question about a projective module in a direct sum
4
Is every submodule of a free module of finite rank finitely generated?
3
A finite abelian group whose order is divisible by 10 contains an element of order 10
2
What is $\operatorname{End}_{\mathbb{C}}(\mathbb{C}[x])?$
2
Galois ring extension
2
Showing containment of kernel of a map induced by a short exact sequence
1
Central limit theorems, Almost sure invariance principles and Brownian motion
1
divisible and torsion groups
1
Suspicion about simple modules
1
Prove that gcd exists and it is unique
1
Some basic book to start with modules?
1
Suppose $f \in End_{R}(M)$ is an $R$-module endomorphism. If $f$ is surjective then $f$ is not a right divisor of zero in $End_{R}(M)$
1
Missing something… Kernels
1
How to create a one to one correspondence between two sets?
1
How to prove $a \lt b$ for all $a \in A, b \in B$ implies $\sup A \leq \inf B$?
1
Why is a finite integral domain always field?
0
Is there a simple proof for ${\small 2}\frac{n}{3}$ is not an integer when $\frac{n}{3}$ is not an integer?
0
Prove subspace of finite dimensional vector space is finite dimensional
0
Proof of first isomorphism theorem of group
0
Dimension of the range of $T$ is equal to the codimension of $\ker T$
0
Are submodules of finitely generated free modules always free?
0
$\mathbb{Q}/\mathbb{Z}$ has a unique subgroup of order $n$ for any positive integer $n$?
0
Probability proof, sequence of sets: help with understanding the notation?
0
Independence of Events
0
Construction of a basis
0
Brownian motion introduction
-1
Showing the countable direct product of $\mathbb{Z}$ is not projective