Mariano Suárez-Alvarez
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10h
comment If ideal can be generated by zero divisors, then is the depth of the ideal 0?
In that example, the ideal I=R can be generated by zero-divisors. What is its depth?
10h
comment If ideal can be generated by zero divisors, then is the depth of the ideal 0?
Consider the direct product of two fields. The two nob-trivial idempotent elements are zero divisors, yet their sum is not.
10h
comment Are there multiple non-isomorphic principal $G$-bundles on Euclidean space?
A shortcut is to simply prove the homotopy invariance of bundles. I don't thing one needs to know BG even exists for what the OP wants.
12h
comment Use differential form to prove meromorphic function on compact riemann surface has same zeros and poles
I suggest you pick a meromorphic function on C, find the poles of f'/f and compute its residues there.
17h
comment an edge coloring of $k_{16}$ with no monochromatic triangle
Now the table and the pic have all the vertices.
17h
revised an edge coloring of $k_{16}$ with no monochromatic triangle
added 199 characters in body
18h
comment When is a diffeomorphism analytic?
I did not point that analiticity and $C^\infty$ are independent — they are not, in fact: an analytic diffeo is clearly $C^\infty$.
18h
comment an edge coloring of $k_{16}$ with no monochromatic triangle
The image and the table are missing the zero element :-( I'll fix them later.
19h
revised an edge coloring of $k_{16}$ with no monochromatic triangle
added 421 characters in body
19h
revised an edge coloring of $k_{16}$ with no monochromatic triangle
added 1007 characters in body
19h
answered an edge coloring of $k_{16}$ with no monochromatic triangle
20h
comment an edge coloring of $k_{16}$ with no monochromatic triangle
How many colors?
22h
reviewed Approve Number of field homomorphisms
22h
comment Number of field homomorphisms
I presume that «homo» in your title is an abbreviation for «homomorphism». Please do not use abbreviations like that: take the time to write out and correctly what you write.
1d
comment Groebner basis and prime ideals.
$G\cap K[X]$ is a groebner basis for the intersection ideal, by the theory on elimination. How are Groebner bases for ideeals in the PID $k[x]$? Also, if $I$ is prime so is its intersection with $k[x]$, as you can easily check.
1d
comment Material on Koszul complex
You could read the book by Alexander Polishchuk, ‎Leonid Positselski called Quadratic Algebras.
1d
comment Material on Koszul complex
What exactly do you want to know about them?
1d
comment When is a diffeomorphism analytic?
You should read en.m.wikipedia.org/wiki/Non-analytic_smooth_function
1d
comment Finite number of maximal ideals of bounded norm
What don't you see, that maximal ideals of a commutative ring are prime?
1d
comment Finite number of maximal ideals of bounded norm
Maximal ideals are prime.