Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
30,530 
I am trying to understand the concept of a kalgebra without much success.
Can someone please give me a clear...

Feb213 11:36 AM
mathwonk

1 
514 
I am reading Dummit and Foote Chapter 7.
D&F use a quadratic field as an example of a ring. I am trying to get a...

Jan2112 03:33 AM
Math Amateur

7 
1,187 
I am reading James and Liebeck's book on Representations and Characters of Groups.
Exercise 1 of Chapter 3 reads as...

Jan2112 08:59 PM
Math Amateur

2 
1,274 
I am reading Kane  Reflection Groups and Invariant Theory and need help with two of the properties of reflections...

Mar2812 08:19 PM
morphism

1 
892 
I am seeking to understand reflection groups and am reading Grove and Benson: Finite Reflection Groups
On page 6...

Apr2212 05:46 PM
Math Amateur

4 
1,022 
I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and...

Oct3013 10:52 PM
Math Amateur

2 
401 
I was having a quick look at Isaacs : Algebra  A Graduate Course and was interested in his approach to Noetherian...

Oct3113 01:02 AM
R136a1

3 
419 
I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and...

Oct3013 11:54 PM
Math Amateur

2 
400 
I am reading Dummit and Foote (D&F) Section 15.1 on Affine Algebraic Sets.
On page 662 (see attached) D&F define a...

Nov313 01:28 AM
Math Amateur

2 
445 
I am reading Dummit and Foote (D&F) Section 15.1 on Affine Algebraic Sets.
On page 662 (see attached) D&F define a...

Nov213 09:37 AM
R136a1

1 
413 
I am reading Dummit and Foote: Section 15.2 Radicals and Affine Varieties.
On page 678, Proposition 16 reads as...

Nov313 08:06 AM
R136a1

3 
497 
In Dummit and Foote Chapter 15, Section 15.3: Radicals and Affine Varieties on page 679 we find the following...

Nov813 12:53 AM
Math Amateur

2 
442 
In Dummit and Foote, Chapter 15, Section 15.2 Radicals and Affine Varieties, Example 2, page 681 begins as follows:
...

Nov913 01:39 PM
R136a1

1 
487 
I have a problem in understanding the proof to Dummit and Foote Section 15.2, Proposition 19 regarding primary ideals....

Nov913 01:36 PM
R136a1

1 
503 
I am studying Dummit and Foote Section 15.2. I am trying to understand the proof of Proposition 19 Part (5) on page...

Nov1013 01:42 AM
R136a1

4 
460 
In Dummit and Foote on page 682 Example 1 reads as follows:...

Nov1113 03:53 PM
Math Amateur

2 
461 
Example (2) on page 682 of Dummit and Foote reads as follows:
...

Nov1213 03:34 PM
Math Amateur

2 
462 
Example (2) on page 682 of Dummit and Foote reads as follows: (see attached)
...

Nov1313 02:22 PM
mathwonk

4 
525 
Hi, can someone please explain to me what "modding out by A" means?
R is ring and A is subring of R
R/A = {r+Ar in...

Nov2705 08:40 PM
mathwonk

4 
2,264 
I just finished learning about Sylow theorems and I have a quick question and was wondering if someone could help me...

Mar206 02:30 PM
matt grime

10 
2,566 
Few days ago, I was thinking about why we need to define V*=Hom(V,K) for a Kvector space when the dimension of V is...

Oct2413 07:16 PM
WWGD

2 
503 
I'm preparing for an upcoming exam, and as I see one of the typical questions that is frequently asked in our exams is...

Nov213 09:54 AM
R136a1

1 
528 
When explicitly given a set of polynomial equations, I am interested in describing its singular locus.
I read this...

Feb1812 01:23 AM
Norwegian

1 
1,101 
so factor groups/quotient groups have been tripping me up recently and if i could a definition and maybe an example...

May3010 05:43 PM
VeeEight

1 
947 
hi friends can someone help me and explain for me what is the difference between a standard and metric?

Nov1110 08:21 AM
HallsofIvy

5 
853 
Hello friends, I am looking for an idea to my exercise!
let's E be a vector space, e_ {i} be a basis of E, b_ {a}...

Feb413 08:02 AM
HallsofIvy

2 
635 
If F is a field, how do we prove that a nonzero polynomial with coefficients in F and of degree n has at most n...

May1808 06:19 PM
mathwonk

2 
2,949 
If A and B are subgroups of G and AB=G does it follow that AB=BA? If yes, why?

Oct108 04:13 PM
sutupidmath

8 
981 
I'd like to show that is sequentially compact. So I pick a sequence in , say (xn).
case 1:range(xn) is finite...

Oct2108 04:01 PM
morphism

1 
1,917 
Any pointers and/or help with proving the following would be appreciated
For every prime number n, there exist...

Jan110 10:04 PM
ramsey2879

2 
1,739 
Problem: Prove that every vector space V has maximal subspace, i.e. a proper subspace that is not properly contained...

Dec507 06:17 PM
mathboy

10 
2,847 
Hi everyone. I am not sure if this problem belongs under the "Linear & Abstract algebra" section but it seemed like it...

Feb1709 02:19 PM
mathclass

4 
4,626 
Help needed to eventually understand Quotient spaces.

Feb1208 04:23 PM
mrandersdk

8 
2,411 
Hello all.
I wasd beginning to feel at home with vectors and covectors but while trying to fully understand the...

Jun2007 06:54 AM
matt grime

25 
4,578 
Hello all. I am in need of a quick clarification.
A text I am reading describes an ideal in a ring as 'analogous'...

Aug107 07:57 PM
matheinste

7 
2,097 
Hello all.
I reluctantly ask this question because it is probably,as the text states easy, but my desire to clear...

Aug307 01:24 PM
matheinste

6 
1,576 
Hello everyone.
I came across the term free vector space in a book on mathematical physics by Geroch but cannot...

Dec3007 12:08 PM
mathwonk

11 
9,682 
Hello all.
Back to basics again.
When defining a set of geometric vectors for a vector space of n dimensions how...

Dec1107 05:39 PM
matheinste

9 
1,566 
Hello all.
I am reading again about free vector spaces over a set. In the Theory of Groups by Kurosh part of the...

Dec2407 10:50 AM
mathwonk

6 
1,973 
Hello all.
Most modern treatments of the tensor product use equivalence classes to define a quotient space in order...

Feb2509 11:52 AM
fisicoloko

11 
3,422 