Mathematics
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darkside
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All Questions Answers
Score Newest
question
4
How do I determine all the endomorphisms of the identity functor $\text{id}_{\text {Grp} }: \text {Grp}\rightarrow \text {Grp}$?
Oct 9
question
2
$M_1 \oplus M_2$ is projective $\iff M_1$ and $M_2$ are both projective
Nov 20
question
2
$ T^*$ is commutative $\iff R^*=\{1\}$ where $T=\{\begin{pmatrix}a & b \\ c & d \end{pmatrix} \in M(2,R)|c=0\}$
Nov 15
question
2
Proving $\gamma \sim \delta (\gamma'(0)=\delta'(0))\iff (\varphi \circ \gamma)'(0) = (\varphi \circ \delta)'(0) \in \Bbb R^m $
Oct 12
question
2
$\alpha^3=\alpha +2$. The ring $\Bbb Z[\alpha] $ is the ring of integers of $\Bbb Q(\alpha) $. How do I compute the prime ideals of norm $\le$ 10?
Nov 6
question
2
inclusion functor Haus $\rightarrow$ Top does not have a right adjoint
Oct 23
question
2
$M/\Bbb R$ is not Hausdorf and becomes a manifold upon removing four well-chosen points, $M = \Bbb R^2 \setminus \{(0; 0)\}$
Oct 23
question
1
$X$ is a smooth vector field on $M$. $X=0$ iff every integral curve of X is constant
Nov 23
question
1
Prove that $\gamma$ is constant iff $\gamma′(t) = 0$ for all $t \in J$ if there is always an interval containing $t$ in which $ \gamma$ is const
Nov 23
question
1
If $M_1$ and $M_2$ are R-modules, $R$ commutative. Show that $M_1 \oplus M_2$ is flat $\iff M_1$ and $M_2$ are both flat [duplicate]
Nov 20

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