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age | ||
visits | member for | 4 years, 3 months |
seen | Jun 17 at 14:53 | |
stats | profile views | 3,496 |
Jul 2 |
awarded | Curious |
Jun 14 |
awarded | Enlightened |
Jun 14 |
awarded | Nice Answer |
Apr 28 |
awarded | Nice Answer |
Apr 28 |
comment |
The existence of non-trivial homomorphisms $\prod_{n=1}^{\infty}\mathbb{Z}/\bigoplus_{n=1}^{\infty}\mathbb{Z}\to\mathbb{Z}/p\mathbb{Z}$
Nice. Alternatively, we can think of the last displayed item as a ring $R$, every element of which satisfies the equation $x^p=x$. So if $I$ is any maximal ideal of $R$, then the elements of the field $R/I$ all satisfy the same equation, whence $R/I$ is the $p$-element field. |
Apr 27 |
answered | The existence of non-trivial homomorphisms $\prod_{n=1}^{\infty}\mathbb{Z}/\bigoplus_{n=1}^{\infty}\mathbb{Z}\to\mathbb{Z}/p\mathbb{Z}$ |
Apr 6 |
awarded | Yearling |
Mar 27 |
awarded | Popular Question |
Feb 7 |
comment |
A question about how polynomials simplify under substitution
The sequence of revisions in this post is confusing, and may have misled you, for which I am sorry. Note that in the example you give, the group $M_0$ contains the nonconstant polynomial $x_1-x_0$. |
Jan 20 |
awarded | Popular Question |
Jan 11 |
revised |
Distribution of polynomials mod 1 using co-prime integers
added 9 characters in body |
Jan 7 |
revised |
Floors of powers of reals, how much do the first few determine the next?
deleted 3 characters in body |
Jan 6 |
revised |
Floors of powers of reals, how much do the first few determine the next?
edited body |
Jan 6 |
revised |
Floors of powers of reals, how much do the first few determine the next?
edited body |
Jan 6 |
answered | Floors of powers of reals, how much do the first few determine the next? |
Dec 24 |
comment |
Generating primes via composition of polynomials
Joe, Thank you for explaining the lay of the land. |
Dec 24 |
comment |
Reducibility of polynomials maps
Yes. In fact $x^2+1$ does the job. |
Dec 24 |
comment |
Reducibility of polynomials maps
Do we actually know a non-linear polynomial $f(x)$ such that $f^n(x)$ is irreducible for all $n$? |
Dec 24 |
awarded | Organizer |
Dec 24 |
comment |
Reducibility of polynomials maps
Joro, I added a logic tag. |