lhf
Reputation
394/400 score
 1d awarded Nice Answer 2d comment How can I find conjugate classes of $\mathbb Z_4$ or any$\mathbb Z_n$? Yes, it does. But note that the class of $n$ is the same as the class of $0$. 2d comment How can I find conjugate classes of $\mathbb Z_4$ or any$\mathbb Z_n$? These groups are abelian... The binary operation is addition mod $n$. Apr30 comment What does $k^*/k^{*^2}$ mean? @PVanchinathan, right, thanks! But it's the infinite direct sum, not product (using Wikipedia's terminology) because all but finitely many components are $1$. Apr30 revised What does $k^*/k^{*^2}$ mean? added 19 characters in body Apr30 answered What does $k^*/k^{*^2}$ mean? Apr29 comment Why $x^2$ may not be a solution to a general second order homogenous differential equations We only need $p$ and $q$ to be defined at $x=0$. Apr29 answered Is there a homomorphism from the general linear group of order n to the real numbers? Apr29 comment Finding all linear operators $L: C([0,1]) \to C([0,1])$ which satisfy 2 conditions encyclopediaofmath.org/index.php/Bohman-Korovkin_theorem Apr29 comment Finding a subgroup of an abelian group that is isomorphic to Z More interestingly, $G$ must have $\mathbb Z$ as a direct factor, at least when $G$ is finitely generated. Apr29 comment Finding a subgroup of an abelian group that is isomorphic to Z $K$ is a red herring. Apr29 answered Finding a subgroup of an abelian group that is isomorphic to Z Apr28 answered Proving that $8^n-2^n$ is a multiple of $6$ for all $n\geq 0$ by induction Apr28 comment Famous smoking mathematicians I don't think this question is at all relevant to mathematics. Apr28 answered Prove the $Int(A) \subseteq A$. Using elements/ sets Apr28 answered Find the smallest subring of $\mathbb{Z}$ containing $8$. Apr28 comment In a ring with no zero-divisors, for $(m,n) =1$, $a^m = b^m$ and $a^n = b^n$ $\iff a =b$ This almost works. You just have to move the negative term to the other side: $1+nk=mi$. Apr27 answered Can this property of the Gaussian integers apply to other rings like $\mathbb{Z}[\sqrt{2}]$? Apr25 comment Textbook +reference book in complex analysis Apr17 comment Is there any good software to plot trigonometry graph? If you have a Mac, use Grapher.