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# 44 Posts

 Apr 26 answered Why is $\mathbb F_5(\root{15}\of t)$ not normal over $\mathbb F_5(t)$? Apr 10 asked On the restriction of field homomorphisms to subfields Dec 14 answered Degree of splitting field for $x^3-3x-1$ over $\Bbb Q$ and $\Bbb F_5$ Nov 29 answered What is the splitting field of $(X^3-2)(X^3-3)(X^2-2)$ Nov 29 answered A galois extension being the splitting field of $X^p-a^p$. Nov 8 answered Proof Verification Regarding Image of $K$-homomorphisms of a Normal Extension Nov 8 answered Find root of polynomial over finite field May 31 answered Finding the order of Z(G) in a non-Abelian group of order 8 May 30 answered determining a linear isomorphism so that two quadratic forms become equivalent May 28 answered Show that $f(x)=a_0+a_1x+a_2x^2+\cdots+a_nx^n\in R[x]$ is nilpotent iff $a_0,a_1,a_2,\ldots,a_n$ are nilpotent May 25 answered Let $T:U\rightarrow V$ be a linear map and suppose that $rank(T)=dim(U)=dim(V)=n$. Show that the are bases where the matrix is $I_n$ May 16 answered In a commutative ring with identity, if $p$ is irreducible, is ($p$) a maximal ideal? Apr 21 answered How do I prove that $\{AB-BA\}$ does not span matrix space? Mar 14 answered Prove that if $N(z)$ is irreducible in $\Bbb{Z}$ then $z$ is irreducible in $\Bbb{Z}[\sqrt{\alpha}]$. Feb 15 answered Elementary question on stabilizer and S3 Feb 7 answered The function given by the Rao-Blackwell theorem is a statistic Feb 1 answered Proving the minimality of an element order Jan 22 answered Why is every sequential map uniformly continuous Nov 30 answered Probability and recurrence Nov 3 answered imprisoned in a cell where there are only 3 ways out ,each of which are equally likely