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visits member for 2 years, 2 months
seen Oct 31 '12 at 5:30

Jul
2
awarded  Curious
Sep
12
awarded  Yearling
Oct
31
asked Exercise on Polynomial Splitting Fields
Oct
24
accepted Exercise on Extensions
Oct
24
comment Exercise on Extensions
Ahh Ok. So Suppose E:R=3, then there must exist some minimal polynomial of degree 3 which has a zero in E. But then since every cubic polynomial over R has a real root, this implies E is in R.
Oct
24
asked Exercise on Extensions
Oct
13
accepted Exercise on Maximum Principle
Oct
13
answered Exercise on Maximum Principle
Oct
13
accepted Principal Ideal Domain Exercise
Oct
13
revised Exercise on Maximum Principle
added 160 characters in body
Oct
13
comment Exercise on Maximum Principle
@PantelisDamianou It is, here let me update the first proof, and it will become clearer why it is relavent.
Oct
11
comment Exercise on Maximum Principle
@GiovanniDeGaetano, thank you! I seem to have missed the obvious but grasped its slightly subtler cousin,
Oct
11
comment Exercise on Maximum Principle
@PantelisDamianou, in general I would say yes, but on page 87 of Gamelin's Complex Analysis defines the property harmonic as follows "a complex valued function whose real and imaginary parts are harmonic...thus any analytic function is harmonic".
Oct
11
revised Exercise on Maximum Principle
deleted 106 characters in body
Oct
11
revised Exercise on Maximum Principle
added 70 characters in body
Oct
11
asked Exercise on Maximum Principle
Oct
10
accepted Ring Localization Exercise
Oct
10
comment Ring Localization Exercise
Nevermind got it! Just showed that any prime ideal has an inverse such that every element in the target prime ideal is hit by the map of the inverse, and thus the inverse maps onto the target.
Oct
10
revised Ring Localization Exercise
deleted 21 characters in body
Oct
10
comment Ring Localization Exercise
Gah, and now im stuck on showing its onto : (