Math 349 Algebraic Geometry, Spring 2009
Homework 11, due Wednesday, May 13
(1) Let X = cfw_x, y be a two-point topological space with discrete topology. Dene a presheaf F as follows:
F () = , F (cfw_x) = R, F (cfw_y) = R, and F (cfw_x, y) = R R R. The re
Math 349 Algebraic Geometry, Spring 2009
Homework 1, due Friday, February 13
(1) Let R be a commutative unital ring. We say that an element u R is a unit if u has a multiplicative
inverse. Prove that the set U (R) = cfw_u R : u is a unit is an abelian gr
Math 349 Algebraic Geometry, Spring 2009
Homework 9, due Friday, April 24
(1) Chapter 8, 4, problem 6
(2) Chapter 8, 4, problem 9
(3) Chapter 8, 4, problem 13
(4) Given an ideal I k[x1 , ., xn ], show that the relation of congruence mod I is an equivalenc