gruff

98 reputation

bio	website	math.bme.hu/~pintye
	location	Budapest, Hungary
	age	25
visits	member for	9 months
	seen	yesterday
stats	profile views	14

Whereof one cannot speak, thereof one must be silent.

	98 reputation	bio	website	math.bme.hu/~pintye	visits	member for	9 months
6 badges		location	Budapest, Hungary		seen	yesterday

summary answers questions tags badges favorites bounties reputation activity

25 Actions

suggestions reviews revisions comments badges posts accepts all

Feb 2	comment	Sperner's theorem on antichains - where does it come from? One of my professors, Gyula Katona, mentions in his doctoral thesis that Sperner used his result to answer the following question: given a square-free integer, what is the maximum number of its positive divisors that do not divide one another? I hope this might help.
Dec 19	comment	An equivalent condition for strong-mixing Ergodicity implies convergence in the Cesàro sense, thus, should it exist, the limit in (1) is $\mu(A)\mu(B)$.
Dec 10	comment	Winding number of algebraic curves You are right. The picture belongs to the real plane, but we need to work over an algebraically closed field. I have to think about this problem.
Dec 10	comment	Winding number of algebraic curves Obviously, this has something to do with parametrisation of algebraic curves, which is related to the resolution of singular points (for a picture, think about a node). Hopefully, the winding number might control the number of subsequent blow-ups in a certain desingularisation process, or at least give us a better insight to the nature of singular curves.
Dec 10	asked	Winding number of algebraic curves
Dec 7	comment	Automorphisms of an affine line over finite fields @Andrew: I am still curious. Is it true that over a finite field any k-algebra automorphism of k[x]/I(A_k) is of the form [p(x)]->[p(ax+b)] as above?
Dec 7	awarded	Scholar
Dec 7	accepted	Automorphisms of an affine line over finite fields
Dec 7	comment	Automorphisms of an affine line over finite fields Is there a classical theory for this without using the language of schemes, or it is just not interesting or perhaps difficult to deal with?
Dec 7	comment	Automorphisms of an affine line over finite fields I am not convinced. For any subvariety V of the affine line A_k, the coordinate ring k[V] is defined as the quotient k[x]/I(V). According to this, for V=A_k, we have k[A_k]=k[x]/I(A_k). Of course, when k is an infinite field, I(A_k)=(0), and the coordinate ring is just k[x]. In case of a finite field, we may have different polynomials with the same values on each element of k.
Dec 7	asked	Automorphisms of an affine line over finite fields
Sep 18	answered	Prove that if c is a common divisor of a and b then c divides the gcd of a and b..
Aug 19	comment	Intuition on proof of Cauchy Schwarz inequality Because it is an invariant, explaining the very reason why you are trying to minimise $\|\|y-kx\|\|$.
Aug 15	answered	Intuition on proof of Cauchy Schwarz inequality
Aug 13	awarded	Teacher
Aug 13	answered	Tensor-free proof that for finite modules over reduced Noetherian rings, locally free = projective
Aug 12	awarded	Supporter
Aug 12	revised	Construction of graded rings and modules added 2 characters in body
Aug 12	revised	Construction of graded rings and modules added 764 characters in body
Aug 10	comment	Construction of graded rings and modules By standard I mean standard (possibly multi-) graded polynomial algebras. I am also aware of Rees algebras, but they still rely heavily upon an ideal of a ring. I would be glad to hear about other approaches.