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Category Theory

Category Theory

Steve Awodey

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.001.0001
Subject:
Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More

Cyclic Modules and the Structure of Rings

Cyclic Modules and the Structure of Rings

S.K. Jain, Ashish K. Srivastava, and Askar A. Tuganbaev

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199664511
eISBN:
9780191746024
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199664511.001.0001
Subject:
Mathematics, Algebra

This book provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a ... More

The Diophantine Frobenius Problem

The Diophantine Frobenius Problem

Jorge L. Ramírez Alfonsín

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568209
eISBN:
9780191718229
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568209.001.0001
Subject:
Mathematics, Algebra, Combinatorics / Graph Theory / Discrete Mathematics

During the early part of the last century, F. G. Frobenius raised, in his lectures, the following problem (called the Diophantine Frobenius Problem FP): given relatively prime positive integers a1, . ... More

Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory

Haruzo Hida

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198571025
eISBN:
9780191718946
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571025.001.0001
Subject:
Mathematics, Algebra

The 1995 work by Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book ... More

Krylov Subspace MethodsPrinciples and Analysis

Krylov Subspace Methods: Principles and Analysis

Jörg Liesen and Zdenek Strakos

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199655410
eISBN:
9780191744174
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199655410.001.0001
Subject:
Mathematics, Applied Mathematics, Algebra

This book offers a detailed treatment of the mathematical theory of Krylov subspace methods with focus on solving systems of linear algebraic equations. Starting from the idea of projections, Krylov ... More

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