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References.bib
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%% http://bibdesk.sourceforge.net/
%% Created for Takumi Murayama at 2015-05-09 21:12:41 -0400
%% Saved with string encoding Unicode (UTF-8)
@book{HS06,
Address = {Cambridge},
Author = {Huneke, Craig and Swanson, Irena},
Date-Added = {2015-05-10 01:12:40 +0000},
Date-Modified = {2015-05-10 01:12:40 +0000},
Isbn = {978-0-521-68860-4; 0-521-68860-4},
Mrclass = {13B22 (13A18 13A30 13A35 13H15 14A05)},
Mrnumber = {2266432 (2008m:13013)},
Mrreviewer = {Liam O'Carroll},
Number = {336},
Publisher = {Cambridge University Press},
Series = {London Mathematical Society Lecture Note Series},
Title = {Integral closure of ideals, rings, and modules},
Year = {2006},
Bdsk-Url-1 = {http://www.ams.org.proxy.lib.umich.edu/mathscinet-getitem?mr=2266432}}
@misc{stacks-project,
Author = {{The Stacks Project Authors}},
Date-Added = {2015-05-10 01:10:38 +0000},
Date-Modified = {2015-05-10 01:10:38 +0000},
Howpublished = {\url{http://stacks.math.columbia.edu}},
Shorthand = {Stacks},
Title = {\itshape Stacks Project},
Year = {2014}}
@book{Mac98,
Address = {New York},
Author = {Mac Lane, Saunders},
Date-Added = {2015-05-10 00:09:30 +0000},
Date-Modified = {2015-05-10 00:09:30 +0000},
Edition = {Second ed},
Isbn = {0-387-98403-8},
Mrclass = {18-02},
Mrnumber = {1712872 (2001j:18001)},
Number = {5},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {Categories for the working mathematician},
Year = {1998},
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@book{Wei94,
Address = {Cambridge},
Author = {Weibel, Charles A.},
Date-Added = {2015-05-10 00:09:21 +0000},
Date-Modified = {2015-05-10 00:09:21 +0000},
Isbn = {0-521-43500-5; 0-521-55987-1},
Mrclass = {18-01 (16-01 17-01 20-01 55Uxx)},
Mrreviewer = {Kenneth A. Brown},
Number = {38},
Publisher = {Cambridge University Press},
Series = {Cambridge Studies in Advanced Mathematics},
Title = {An introduction to homological algebra},
Year = {1994},
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@unpublished{FOAG,
Author = {Vakil, Ravi},
Date-Added = {2015-05-10 00:04:14 +0000},
Date-Modified = {2015-05-10 00:04:14 +0000},
Month = {January},
Note = {Draft available: \url{http://math.stanford.edu/~vakil/216blog/}},
Shorthand = {FOAG},
Title = {The rising sea: Foundations of algebraic geometry},
Year = {2015}}
@book{Isa09,
Address = {Providence, RI},
Author = {Isaacs, I. Martin},
Date-Added = {2015-05-09 23:34:29 +0000},
Date-Modified = {2015-05-09 23:34:29 +0000},
Isbn = {978-0-8218-4799-2},
Mrclass = {00-01 (12-01 13-01 16-01 20-01)},
Mrnumber = {2472787},
Note = {Reprint of the 1994 original},
Number = {100},
Publisher = {American Mathematical Society},
Series = {Graduate Studies in Mathematics},
Title = {Algebra: a graduate course},
Year = {2009},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2472787}}
@book{Eis95,
Address = {New York},
Author = {Eisenbud, David},
Date-Added = {2015-05-09 23:34:06 +0000},
Date-Modified = {2015-05-09 23:34:06 +0000},
Doi = {10.1007/978-1-4612-5350-1},
Isbn = {0-387-94268-8; 0-387-94269-6},
Keywords = {Commutative Algebra},
Mrclass = {13-01 (14A05)},
Mrnumber = {1322960 (97a:13001)},
Mrreviewer = {Matthew Miller},
Number = {150},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {Commutative algebra: With a view toward algebraic geometry},
Url = {http://dx.doi.org/10.1007/978-1-4612-5350-1},
Year = {1995},
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@book{ZS75,
Address = {New York-Heidelberg-Berlin},
Author = {Zariski, Oscar and Samuel, Pierre},
Date-Added = {2015-05-09 23:25:25 +0000},
Date-Modified = {2015-05-09 23:25:25 +0000},
Edition = {Corrected reprinting of the 1958 edition},
Mrclass = {13-02},
Mrnumber = {0384768 (52 \#5641)},
Number = {28},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {Commutative algebra. {V}ol. 1. \emph{With the cooperation of I. S. Cohen}},
Year = {1975},
Bdsk-Url-1 = {http://www.ams.org.proxy.lib.umich.edu/mathscinet-getitem?mr=0384768}}
@book{Mat70,
Author = {Matsumura, Hideyuki},
Date-Added = {2015-05-09 23:20:47 +0000},
Date-Modified = {2015-05-09 23:20:47 +0000},
Keywords = {Commutative Algebra},
Mrclass = {13.00},
Mrnumber = {0266911 (42 \#1813)},
Mrreviewer = {P. Samuel},
Publisher = {W. A. Benjamin, Inc., New York},
Title = {Commutative algebra},
Year = {1970},
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Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=0266911}}
@book{DF04,
Address = {Hoboken, NJ},
Author = {Dummit, David S. and Foote, Richard M.},
Date-Added = {2015-05-09 22:57:41 +0000},
Date-Modified = {2015-05-09 22:57:41 +0000},
Edition = {Third ed.},
Isbn = {0-471-43334-9},
Mrclass = {00-01 (16-01 20-01)},
Mrnumber = {2286236 (2007h:00003)},
Publisher = {John Wiley \& Sons Inc.},
Title = {Abstract algebra},
Year = {2004},
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@book{Sho01,
Address = {Urbana, IL},
Author = {Shoenfield, Joseph R.},
Date-Added = {2015-05-09 22:44:56 +0000},
Date-Modified = {2015-05-09 22:44:56 +0000},
Isbn = {1-56881-135-7},
Mrclass = {03-01},
Mrnumber = {1809685 (2001h:03003)},
Note = {Reprint of the 1973 second printing},
Publisher = {Association for Symbolic Logic},
Title = {Mathematical logic},
Year = {2001},
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@misc{M2,
Author = {Grayson, Daniel R. and Stillman, Michael E.},
Date-Added = {2015-05-09 22:28:55 +0000},
Date-Modified = {2015-05-09 22:30:52 +0000},
Howpublished = {Available at \url{http://www.math.uiuc.edu/Macaulay2/}},
Shorthand = {M2},
Title = {Macaulay2},
Titleaddon = {A software system for research in algebraic geometry}}
@article{Ebe57,
Author = {Eberlein, W. F.},
Date-Added = {2015-05-02 00:58:33 +0000},
Date-Modified = {2015-05-02 00:58:45 +0000},
Fjournal = {Communications on Pure and Applied Mathematics},
Issn = {0010-3640},
Journal = {Comm. Pure Appl. Math.},
Mrclass = {28.0X},
Mrnumber = {0088537 (19,536d)},
Mrreviewer = {K. Krickeberg},
Pages = {357--360},
Title = {Notes on integration. {I}. {T}he underlying convergence theorem},
Volume = {10},
Year = {1957},
Bdsk-Url-1 = {http://www.ams.org.proxy.lib.umich.edu/mathscinet-getitem?mr=0088537}}
@book{Rud76,
Address = {New York-Auckland-D{\"u}sseldorf},
Author = {Rudin, Walter},
Date-Added = {2015-05-01 23:12:17 +0000},
Date-Modified = {2015-05-01 23:15:18 +0000},
Edition = {Third ed},
Mrclass = {26-02},
Mrnumber = {0385023 (52 \#5893)},
Publisher = {McGraw-Hill Book Co.},
Series = {International Series in Pure and Applied Mathematics},
Title = {Principles of mathematical analysis},
Year = {1976},
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@book{MR924157,
Author = {Rudin, Walter},
Date-Added = {2015-05-01 23:12:17 +0000},
Date-Modified = {2015-05-01 23:12:17 +0000},
Edition = {Third},
Isbn = {0-07-054234-1},
Mrclass = {00A05 (26-01 30-01 46-01)},
Mrnumber = {924157 (88k:00002)},
Pages = {xiv+416},
Publisher = {McGraw-Hill Book Co., New York},
Title = {Real and complex analysis},
Year = {1987},
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@book{Bou74,
Author = {Bourbaki, Nicolas},
Date-Added = {0026-10-14 19:48:41 +0000},
Date-Modified = {0026-10-14 19:49:41 +0000},
Mrclass = {00A05 (15-XX)},
Mrnumber = {0354207 (50 \#6689)},
Note = {Translated from the French},
Publisher = {Paris: Hermann; Reading, Mass.: Addison-Wesley Publishing Co.},
Title = {Elements of mathematics. {A}lgebra, {P}art {I}: {C}hapters 1-3},
Year = {1974},
Bdsk-Url-1 = {http://www.ams.org.proxy.lib.umich.edu/mathscinet-getitem?mr=0354207}}
@book{Lan02,
Address = {New York},
Author = {Lang, Serge},
Date-Added = {0026-10-14 07:51:05 +0000},
Date-Modified = {0026-10-14 07:51:05 +0000},
Doi = {10.1007/978-1-4613-0041-0},
Edition = {Third ed.},
Isbn = {0-387-95385-X},
Mrclass = {00A05 (15-02)},
Mrnumber = {1878556 (2003e:00003)},
Number = {211},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {Algebra},
Url = {http://dx.doi.org/10.1007/978-1-4613-0041-0},
Year = {2002},
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@book{Art11,
Address = {Upper Saddle River, NJ},
Author = {Artin, Michael},
Date-Added = {0026-10-13 22:00:47 +0000},
Date-Modified = {0026-10-13 22:00:47 +0000},
Edition = {Second ed},
Keywords = {General Algebra},
Publisher = {Prentice Hall},
Title = {Algebra},
Year = {2011},
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@misc{MO47846,
Author = {Balazs Strenner},
Date-Added = {0026-10-13 07:08:30 +0000},
Date-Modified = {0026-10-13 17:57:38 +0000},
Howpublished = {MathOverflow},
Note = {URL: \url{http://mathoverflow.net/q/47846} (version: 2010-12-01)},
Shorthand = {MO47846},
Title = {Atiyah-Macdonald, Exercise 2.11},
Url = {http://mathoverflow.net/q/47846},
Bdsk-Url-1 = {http://mathoverflow.net/q/47846}}
@book{Mun00,
Address = {Upper Saddle River, NJ},
Author = {Munkres, James R.},
Date-Added = {0026-10-04 18:33:48 +0000},
Date-Modified = {0026-10-14 19:52:21 +0000},
Edition = {Second ed.},
Isbn = {0-13-181629-2},
Language = {English},
Msc2010 = {54-01 55-01},
Publisher = {Prentice Hall},
Title = {Topology},
Year = {2000},
Zbl = {0951.54001},
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@book{BS81,
Address = {New York-Berlin},
Author = {Burris, Stanley and Sankappanavar, H. P.},
Date-Added = {0026-10-04 17:26:05 +0000},
Date-Modified = {0026-10-04 17:41:03 +0000},
Isbn = {0-387-90578-2},
Mrclass = {08-01},
Mrnumber = {648287 (83k:08001)},
Mrreviewer = {R. S. Pierce},
Number = {78},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {A course in universal algebra},
Year = {1981},
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@book{Rei95,
Address = {Cambridge},
Author = {Reid, Miles},
Date-Added = {0026-09-14 08:11:21 +0000},
Date-Modified = {0026-09-14 08:11:21 +0000},
Isbn = {0-521-45255-4},
Keywords = {Commutative Algebra},
Mrclass = {13-01},
Mrnumber = {1458066 (98c:13001)},
Number = {29},
Publisher = {Cambridge University Press},
Series = {London Mathematical Society Student Texts},
Title = {Undergraduate commutative algebra},
Year = {1995},
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@book{AM69,
Address = {Reading, Mass.},
Author = {Atiyah, M. F. and Macdonald, I. G.},
Date-Added = {2013-04-22 02:31:09 +0000},
Date-Modified = {2013-05-19 19:26:14 +0000},
Keywords = {Commutative Algebra},
Mrclass = {13.00},
Mrnumber = {0242802 (39 \#4129)},
Mrreviewer = {J. A. Johnson},
Publisher = {Addison-Wesley Publishing Co.},
Title = {Introduction to commutative algebra},
Year = {1969},
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