how is $m_1 m_2...m_i/m_1 m_2....m_{i+1}$ a vector space over $A/m_{i+1}$?
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
5347
Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$
28238
A question about long exact sequence of finite dim vector spaces
102458
Subspace generated by permutations of a vector in a vector space
154724
Every vector space has a basis
15088
Proof that tangent space is a vector space?
132300
Dimensions of vector spaces in an exact sequence
120475
Vector spaces - Multiplying by zero scalar yields zero vector
4240
The proof of Triple Vector Products
43814
What does it mean when a set is said to be a "finitely generated vector space"?
6202
$V$ be a vector space , $T:V \to V$ be a linear operator , then is $\ker (T) \cap R(T) \cong R(T)/R(T^2) $?
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
51397
If a field $F$ is such that $\left|F\right|>n-1$ why is $V$ a vector space over $F$ not equal to the union of $n$ proper subspaces of $V$
35286
number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group
92510
Proving a vector space is infinite-dimensional
120535
Basis of the polynomial vector space
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space