1:41 AM
I have removed the deprecated (abstract-algebra) tag from Galois extension very easy question. What is suitable top-level tag for questions about Galois theory, fields extensions and similar topics? Probably ?
-2

Is the following true? Assume that $F \leq K \leq M$ are field extensions and $M$ is a Galois extension of $K$ and $K$ is a finite extension of $F$. Is $M$ a Galois extension of $F$?

Here is another question with a deprecated tag: A beautiful problem in linear algebra. Which tag(s) should be chosen instead? Maybe would be a reasonable tag for that questions?
1

Assume that you have an n-dimensional vector space over a finite field (therefore the number of elements in the vector space is finite.) and $F$ is a subset of this vector space which contains n nonzero elements that I call "forbidden" elements. Let's $A$ is a subset of this vector space when the...

Also a title could probably be improved.
A title with information on the subject would be maybe more useful than one just conveying your opinion on the value of the question — YCor 3 hours ago

7 hours later…
8:41 AM
I will just point out that the (abstract-algebra) tag is deprecated on MathOverflow, see the tag-info. I'll leave for more experienced users which tags should be chosen instead. — Martin Sleziak 21 secs ago

5 hours later…
2:08 PM
Here is another recent question with a deprecated tag: The “semi-symmetric” algebra of a vector space.
2

If $V$ is a vector space over a field $K$, then the symmetric algebra $S(V)$ is defined as the tensor algebra $T(V)$ factorized by the two-sided ideal generated by $x\otimes y-y\otimes x$, with $x,y\in V$. The homogeneous component of degree $n$ of $S(V)$ is $S^n(V)=T^n(V)/I_n$, where $I_n$ is th...

And that question is also cross-posted on Mathematics:
8

If $V$ is a vector space over a field $K$ then the symmetric algebra $S(V)$ is defined as the tensor algebra $T(V)$ factorized by the two-sided ideal generated by $x\otimes y-y\otimes x$, with $x,y\in V$. The homogeneous component of degree $n$ of $S(V)$ is $S^n(V)=T^n(V)/I_n$, where $I_n$ is the...

8 hours later…
10:21 PM
Another new question with a deprecated tag: The bridge index and crookedness of a knot.
0

I am reading Dale Rolfsen's book KNOTS AND LINKS, at page 115, I can't figure out why the crookedness of a knot equals its bridge index. Please give me some hints or any references avalible, much thanks!