208 reputation
210
bio website
location
age 25
visits member for 4 years, 8 months
seen May 19 '13 at 2:06

Jul
2
awarded  Curious
May
16
awarded  Popular Question
May
24
awarded  Scholar
May
19
revised Reference request: Minimal Axiomatizations of PA over (+,x,<=).
added 37 characters in body
May
19
comment Reference request: Minimal Axiomatizations of PA over (+,x,<=).
Thank you all: Joel's version is indeed what I intended. I have fixed the above.
May
18
comment Reference request: Minimal Axiomatizations of PA over (+,x,<=).
The question I originally wrote was not the question I meant. I have corrected this: thank you abo.
May
18
revised Reference request: Minimal Axiomatizations of PA over (+,x,<=).
added 796 characters in body
May
18
asked Reference request: Minimal Axiomatizations of PA over (+,x,<=).
May
18
accepted What is the relationship between modular forms and the Rogers-Ramanujan identities?
Apr
10
awarded  Nice Question
Nov
3
awarded  Notable Question
Apr
25
asked What is known about the structure of $\mathbb Z[c_1(\mathcal O_V(1))]$ for a projective $\Bbbk$-variety $V$?
May
10
awarded  Popular Question
Mar
12
comment Group ring and left zero divisor.
@darji, regarding your example, isn't it the case that if the characteristic of $K$ does not divide $|G|$, then $K[G]$ contains a copy of each irreducible representation, and that you need algebraic closure to ensure that every representation $V$ occurs $\dim V$ times and hence that $K[G]$ is isomorphic to the direct sum of the endomorphism rings? So if $K$ is not algebraically closed, you have no assurance that any of the endomorphism rings that $K$ is a sum of are more than $1$-dimensional?
Mar
12
answered Group ring and left zero divisor.
Feb
15
awarded  Yearling
Aug
12
awarded  Nice Answer
Aug
5
comment Is Galois theory necessary (in a basic graduate algebra course)?
I definitely did not mean to suggest that ring theory or field theory not be developed at all! (Dispensing with algebra all together is clearly way too radical an approach that the mass public is not yet ready for, pedagogically.) I just don't think that it is reasonable to omit Galois theory from such a systematic course due to time concerns; at the very least it can be introduced and its applications alluded to. Also, +1 for "for self-education and single issue purposes you must do whatever it takes"
Aug
4
answered Is Galois theory necessary (in a basic graduate algebra course)?
Aug
1
comment Why linear algebra is fun!(or ?)
This of course works with polynomials with repeated roots, where you just throw 1/(x-r_i)^j for 1 <= j <= k with k the degree of repetition. Asking students to extend the case for Q with distinct roots to arbitrary Q might be a fun exercise.