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School: Concordia Chicago
School: Concordia Chicago
MATH 327: FOURTH PROBLEM SET Due Wednesday, April 30 1. Let R = k[x, y, s, t]/(xs - yt) and S = R/(x, y) k[s, t]. Let P = (s, t) R = and let Q be its image in S. Show that ht(P ) = 1 but ht(Q) = 2. 2. let R = k[x, y, z]/(xz - z) and consider the s
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 4 Due: Friday, February 6, 2009 1. (*) Read Dummit and Foote, Sections 8.39.3. 2. (*) Dummit and Foote, Section 8.2, #24. 3. Dummit and Foote, Section 8.2, #5: Let R
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 3 Due: Friday, January 23, 2009 1. (*) Read Dummit and Foote, Sections 7.5 and 8.18.3. 2. (*) Dummit and Foote, Section 7.5, #1, 2, and 3 (including going back to read 7
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 2, Version 3 (the rings in 9(d), 11, 12, and 14 should all have 1s) Due: Friday, January 16, 2009 Reminder: starred (*) problems are to be considered moral homework. 1.
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 1, Version 2 (nal, with the typos in # 6 corrected) Due: Friday, January 9, 2009 From Homework 1 onward, starred (*) problems are to be considered moral homework, which
School: Concordia Chicago
MATH 327: FOURTH PROBLEM SET Due Wednesday, April 30 1. Let R = k[x, y, s, t]/(xs - yt) and S = R/(x, y) k[s, t]. Let P = (s, t) R = and let Q be its image in S. Show that ht(P ) = 1 but ht(Q) = 2. 2. let R = k[x, y, z]/(xz - z) and consider the s
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 4 Due: Friday, February 6, 2009 1. (*) Read Dummit and Foote, Sections 8.39.3. 2. (*) Dummit and Foote, Section 8.2, #24. 3. Dummit and Foote, Section 8.2, #5: Let R
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 3 Due: Friday, January 23, 2009 1. (*) Read Dummit and Foote, Sections 7.5 and 8.18.3. 2. (*) Dummit and Foote, Section 7.5, #1, 2, and 3 (including going back to read 7
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 2, Version 3 (the rings in 9(d), 11, 12, and 14 should all have 1s) Due: Friday, January 16, 2009 Reminder: starred (*) problems are to be considered moral homework. 1.
School: Concordia Chicago
Math 258, Section 31: Honors Algebra II Winter Quarter 2009 John Boller Homework 1, Version 2 (nal, with the typos in # 6 corrected) Due: Friday, January 9, 2009 From Homework 1 onward, starred (*) problems are to be considered moral homework, which