nigelvr

552 reputation

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visits	member for	6 months
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3rd year undergrad studying mathematics, computer science, and some philosophy.

	552 reputation	bio	website		visits	member for	6 months
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May 18	comment	A question on linear operators An $F$-vector space is Noetherian iff it is finite dimensional. If $V$ is not f.d., then we contruct an ascending chain in the obvious way, and if it is f.d., then all chains halt.
May 10	comment	Why is Transitivity a definition? You seem to answer your own question. You ask whether (1) => (2), but you then show that this is not true for the relation you gave for $S$.
May 9	accepted	Spectrum of polynomial ring
May 9	asked	Spectrum of polynomial ring
May 9	comment	Prime ideals in commutative ring I have not seen this notion of Krull dimension in my undergrad algebra courses. Both your comment and the answer were very informative.
May 9	accepted	Prime ideals in commutative ring
May 9	comment	Prime ideals in commutative ring This answers my question! Thanks.
May 9	revised	Prime ideals in commutative ring added 46 characters in body
May 9	asked	Prime ideals in commutative ring
May 6	answered	Homeomorphism $id_M:(M,\tau_d)\rightarrow(M,\tau_h)$
May 6	comment	Irrational roots don't exist @Matt: Your post is unintelligible. Please make it clear. However, if I understand you correctly, you are saying that the square root is not defined for all positive real numbers. A bit of thought will show that things like $\sqrt{pi}$ are indeed sensible quantities.
May 6	comment	Calculating overall grade from a partial grade This question makes me cry.
May 6	comment	Are all prime numbers finite? Your argument doesn't make any sense. You talk about having an "infinite prime number", but prime numbers are natural numbers by definition.
May 6	comment	Main use of tensor, symmetric and exterior algebras outside differential geometry? I'm sure you know this but I'll put it out there anyway. If $V$ is a vector space, and $T \in \operatorname{End}(V)$, then the induced map $d: \Lambda^n V \to \Lambda^n V$ is essentially the determinant.
May 5	comment	Main use of tensor, symmetric and exterior algebras outside differential geometry? This may be useful to you: mathoverflow.net/questions/1684/…
May 5	answered	What does the Heine-Borel Theorem mean?
May 4	comment	Let $h$ be a homomorphism from A onto B, $g$ a homomorphism from A onto C such that $ \ker g\subset \ker h$. Prove there's a homo. $f$ from B onto C (i) Are $A,B$ and $C$ groups? I suppose the solution is essentially the same if you are working with rings/vector spaces/modules/whatever, but you should specify what $A,B$ and $C$ are. (ii) Please put the question in the body of the post instead of the title.
May 3	accepted	exact sequence of groups
May 3	comment	exact sequence of groups Sorry if I sounded harsh. Thanks for the reply, I understand the situation now.
May 3	comment	exact sequence of groups How can we map $G'' \to G/H$? We have a projection from $G \to G/H$ but not from $G'' \to G/H$. Let me clarify, I know what the horizontal arrows are, but not the vertical ones which make the diagram commutative.