3,490 reputation
11019
bio website provemeright.wordpress.com
location Israel
age 29
visits member for 3 years, 10 months
seen Jun 16 at 7:45

I am a Math student (and always will be). Interested mainly in algebra, but happy to work in other areas as well (as long as it is not differential equations... never liked this field).


Mar
29
comment Homogeneous polynomial in a homogeneous ideal
Do you want the generators to be independent in some sense? Because if, for example, $g_1=g_2$ , then $f=g_1-g_2+g_3$ is a counter example whenever $g_1,g_2$ and $g_3$ have different degrees.
Mar
29
comment Is the given Ring $\mathcal K(U)$ an integral domain?
If $fg=0$ on a disk and neither is zero, then at least one of them must be zero on "most" of the disk. Show that this is impossible (think what happens if $f,g$ are polynomials).
Mar
28
awarded  Tumbleweed
Mar
25
comment Composition series of finite length modules
Since $K[X]$ is a PID, you can decompose $V$ using the standard theory of modules over PID. This theory applied to matrices is just the Jordan\Rational form. I suggest that you start there.
Mar
25
reviewed Approve suggested edit on How many Scythians were there?
Mar
24
answered Idempotents in a local ring
Mar
24
answered if $A=AB-BA$ then $A^n=0$?
Mar
21
reviewed Approve suggested edit on Find $\operatorname E(X\mid Y)$ given that $X=U+V$ and $Y=UV$ when $U$ and $V$ are independent with exponential distribution.
Mar
21
asked $\bar{L}$ points of $GL_{(ab)^2}/PGL_a\times PGL_b$
Mar
21
comment A multiplicative subgroup of rational numbers
@user135087 : The wikipedia page en.wikipedia.org/wiki/Gaussian_integer is a good starting point. If you want more, then probably every basic book about rings prove this theorem.
Mar
21
revised A multiplicative subgroup of rational numbers
added information
Mar
21
answered A multiplicative subgroup of rational numbers
Mar
20
awarded  Custodian
Mar
20
reviewed No Action Needed Rank of a jet bundle of a vector bundle.
Mar
20
comment Is $L=\{w\mid \text{ same number of 010 and 101}\}$ regular?
@Eyalbason : If w is any word and $\varphi(w)$ is its image, then the only way 010 can appear in the image is inside $\varphi(0)=00100$ and similarly 101 appears only in $\varphi(1)=11011$
Mar
19
comment Is $L=\{w\mid \text{ same number of 010 and 101}\}$ regular?
@ThomasAndrews : Thanks, corrected it.
Mar
19
revised Is $L=\{w\mid \text{ same number of 010 and 101}\}$ regular?
changed a,b to 0,1
Mar
19
reviewed Approve suggested edit on Matrix linear transformation from $\mathbb{R}^3$ to $\mathbb{R}^4$. Find the matrix representation
Mar
19
answered Is $L=\{w\mid \text{ same number of 010 and 101}\}$ regular?
Mar
19
comment Extension and restriction of scalars and their relation to the identity functor
@JackSchmidt : Thanks, added the counter example.