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user371231

Apparently, this user prefers to keep an air of mystery about them.

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13 Proof of a theorem on simultaneous diagonalization from Hoffman and Kunze. Mar 13 '17
8 Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it? Sep 26 '19
6 There does not exist a onto ring homomorphism from $M_{n+1 \times n+1}(\mathbb F) \to M_{n \times n}(\mathbb F) $ for any field $\mathbb F.$ Aug 20 '19
6 $A$ nilpotent and $A+c_iB$ is nilpotent then $B$ is nilpotent. Jan 7 '19
6 Example of a commutative noetherian ring with $1$ which is neither domain nor local and has a principal prime ideal of height $1.$ Feb 25 '17
5 How can I show that $v_i\otimes v_j$ is non zero in $V \otimes_\mathbb {F}V$ Jan 26 '17
5 $(x^a-y^b)$ is a prime ideal in $R[x,y]$ where $R$ is a domain and $\gcd(a,b)=1$. [duplicate] Jan 25 '18
5 Does there exist a $1-1$ ring homomorphism from $M_d(\mathbb{F})$ to $M_n(\mathbb{F})$ for $d <n$? Dec 29 '18
5 Kernel of $\mathbb{Z}_p \to \mathbb{Z}/p^{n}\mathbb{Z}$ equals to $p^n \mathbb{Z}_p$. May 23 '20
4 $\mathrm{Ext}^1_{A}(P,A/I)=0$ for all ideal $I$ of $A$ implies $\mathrm{Ext}^1_{A}(P,N)=0$ for all finitely generated $A$ module $N$. Sep 12 '20
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