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Lectures on Some Aspects of p-Adic Analysis by F. Bruhat
 
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Ebooks May 30, 2022 2

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Author
F. Bruhat
Publisher
Tata Institute of Fundamental Research 1963
These lectures cover the classical theory of valuated fields, some recent results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.
Lectures On Unique Factorization Domains by P. Samuel
 
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Ebooks May 29, 2022 1

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Author
P. Samuel
Publisher
Tata Institute Of Fundamental Research 1964
In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).
Representation Theory of Compact Groups by Michael Ruzhansky, Ville Turunen
 
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Ebooks May 29, 2022 3

Ebook Details

Author
Michael Ruzhansky, Ville Turunen
Publisher
Aalto TKK 2008
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
Commutative Algebra by Jacob Lurie, Akhil Mathew
 
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Ebooks May 28, 2022 4

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Author
Jacob Lurie, Akhil Mathew
Publisher
Harvard University 2010
Topics: Unique factorization; Basic definitions; Rings of holomorphic functions; R-modules; Ideals; Localization; SpecR and the Zariski topology; The ideal class group;
The CRing Project: a collaborative open source textbook on commutative algebra by Shishir Agrawal, et al.
 
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Ebooks May 28, 2022 2

Ebook Details

Author
Shishir Agrawal, et al.
Publisher
CRing Project 2011
The CRing project is an open source textbook on commutative algebra, aiming to comprehensively cover the foundations needed for algebraic geometry at the level of EGA or SGA.
Lectures on Field Theory and Ramification Theory by Sudhir R. Ghorpade
 
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Ebooks May 28, 2022 5

Ebook Details

Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2008
These are the notes of a series of five lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.
Commutative Algebra by Keerthi Madapusi
 
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Ebooks May 28, 2022 3

Ebook Details

Author
Keerthi Madapusi
Publisher
Harvard University 2007
Contents: Graded Rings and Modules; Flatness; Integrality: the Cohen-Seidenberg Theorems; Completions and Hensel's Lemma; Dimension Theory; Invertible Modules and Divisors; Noether Normalization and its Consequences;
A Primer of Commutative Algebra by J.S. Milne
 
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Ebooks May 28, 2022 3

Ebook Details

Author
J.S. Milne
Publisher
2011
These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses. However, they are quite concise.
A Quick Review of Commutative Algebra by Sudhir R. Ghorpade
 
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Ebooks May 28, 2022 4

Ebook Details

Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2000
These notes attempt to give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are: Hilbert basis theorem,
A Quick Review of Commutative Algebra by Sudhir R. Ghorpade
 
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Ebooks May 28, 2022 3

Ebook Details

Author
Sudhir R. Ghorpade
Publisher
Indian Institute of Technology, Bombay 2000
These notes attempt to give a rapid review of the rudiments of classical commutative algebra. Some of the main results whose proofs are outlined here are:
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