
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
April 29th, 2014, 07:31 AM  #1 
Newbie Joined: Apr 2014 From: zagreb Posts: 4 Thanks: 0  Algebraic Geometry 
June 8th, 2014, 11:38 AM  #2 
Senior Member Joined: Apr 2014 From: zagreb, croatia Posts: 234 Thanks: 33 Math Focus: philosophy/found of math, metamath, logic, set/category/order/number theory, algebra, topology  Algebraic setscoordinate ring of an algebraic set
Could someone help me with this please? In Milne's notes, chapter 2 Algebraic sets, paragraph Coordinate ring of an algebraic set, he says two polynomials $f, g \in k[X_1, \dots , X_n]$ define the same regular function on $V$ iff they define the same element of $k[V]$. Could someone please explain to me why is this so?


Tags 
algebraic, geometry 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Algebraic Geometry  D&F Section 15.1, Exercise 24  Math Amateur  Abstract Algebra  0  October 30th, 2013 07:36 PM 
Elementary Algebraic Geometry  D&F Section 15.1  Ex 15  Math Amateur  Abstract Algebra  0  October 30th, 2013 05:09 PM 
Coxeter's “Geometry Revisited” vs. “Introduction to Geometry  becko  Math Books  2  December 29th, 2010 08:47 PM 
Algebraic Geometry Definition Question  xianghu324  Abstract Algebra  1  August 8th, 2010 08:37 AM 
Use of plane geometry in coordinate geometry problems  cursed_mask  Geometry  0  July 22nd, 2008 11:52 PM 