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 April 29th, 2014, 07:31 AM #1 Newbie   Joined: Apr 2014 From: zagreb Posts: 4 Thanks: 0 Algebraic Geometry Can anyone help me understand proposition 4.32. http://www.jmilne.org/math/CourseNotes/AG.pdf
 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 sets-coordinate 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?

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