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bio website math.ucdavis.edu/~greg
location Davis, CA
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I am a professor at UC Davis.


Apr
14
comment Open problems in Euclidean geometry?
Yes, uniformly random in that sense.
Apr
10
answered Dividing by two in the category of vector spaces
Apr
10
comment Dividing by two in the category of vector spaces
(No, StackExchange, I would not like to move this discussion to chat.) Characteristic p is as far as I have gotten in "math by Google".
Apr
10
comment Dividing by two in the category of vector spaces
Yeah, it looks like it just is a counterexample.
Apr
10
comment Dividing by two in the category of vector spaces
On the other hand, this conference proceedings, "Infinite Length Modules" by Krause and Ringel, says that Krull-Schmidt can fail for infinite-dimensional representations of a finite group, over an infinite field with positive characteristic. books.google.com/…
Apr
10
comment Dividing by two in the category of vector spaces
Wikipedia says that this assertion, the "Krull-Schmidt theorem", holds for finite-length modules over a ring, but not in general for modules that are only Noetherian or only Artinian. en.wikipedia.org/wiki/…
Apr
10
comment Dividing by two in the category of vector spaces
Note that one test of naturality in this case is whether it is true for infinite-dimensional vector spaces without the axiom of choice.
Apr
6
awarded  Nice Answer
Mar
27
awarded  Popular Question
Mar
26
awarded  Good Question
Mar
24
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Mar
18
awarded  Guru
Feb
4
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Jan
27
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Jan
11
awarded  Great Answer
Nov
27
comment Massive cancellations
Here is a remaining open question from the topic that I find interesting: Is e a tame number?
Nov
17
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16
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Oct
16
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Oct
1
awarded  Yearling