Jan
23
revised do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
edited tags
Jan
23
answered do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
Jan
22
answered Converting Quaternion or 4x4 Matrix to 3x3 Matrix representation.
Jan
22
comment Question on Probability, Please Help!
And while you're at it, pick a better title: more descriptive, less needy.
Jan
22
comment Suppose $M$ is a Noetherian $R$-module and $\phi: M \rightarrow M$ is an $R$-module endomorphism of $M$.
The keywords for this are Hopfian and coHopfian. Noetherian modules are Hopfian, and Artinian modules are coHopfian. (Of course, that does not exhaust either type, or else we wouldn't give them new names.) related: math.stackexchange.com/q/521309/29335
Jan
21
revised About terminology “Orthogonal” and “Orthonormal”
added 99 characters in body
Jan
21
answered About terminology “Orthogonal” and “Orthonormal”
Jan
21
comment Prove that $\mathbb{R}^n$ cannot be a finite union of its hyperplanes .
The question is a duplicate of math.stackexchange.com/q/145869/29335 , although here the focus is on debugging a proof, so it probably shouldn't be duped, but related.
Jan
21
comment Is it always possible to extend a ring to a unital ring?
It's a little confusing to use both ordered pairs and sums of pairs in your notation. It would probably be best to do what every book does and just use ordered pairs...
Jan
20
comment Geometric interpretation of 2D-Translation's Matrix representation
@NicoDean I can't imagine how logarithms would be connected, but an exponential map will connect a lie algebra with its lie group.
Jan
19
answered Characteristic of a ring: intuitive explanation
Jan
19
comment Basic elementary number theory
There is also a question "Best number theory book" with a vote score of 100 right now that might be useful. Please be sure to do a search before you ask a question.
Jan
19
comment Conditions on ideal b for fields or integral domains
All other google hits besides the one I mentioned used Noether correspondence in connection with her theorem on invariants.
Jan
19
comment Conditions on ideal b for fields or integral domains
@krish ok, there are actually hits for that usage. I'm a bit surprised any special name would be attached to a theorem like this. You would think that the same theorem for groups would be well known before this, and that results like it would be considered "folklore."
Jan
19
comment A fan, a horn, and a snowflake - unusual math terms
Call me naive, but why is #7 dirty?!
Jan
19
comment Conditions on ideal b for fields or integral domains
Interesting: I have never heard the correspondence theorem called by Noether's name. I searched the first 8 pages of google hits and found exactly one similar usage in a homological algebra book by Osborne. If you know where you got the idea, I would be interested in the source.
Jan
18
answered Is the converse of Sylvester's inertia law true?
Jan
18
revised prime elements, irreducible elements, unique factorization (rings)
added 353 characters in body
Jan
18
answered prime elements, irreducible elements, unique factorization (rings)
Jan
18
answered In any ring $R$ with a multiplicative identity , does every non-unit element belongs to some maximal ideal of $R$ ?