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Algebra and Applications

Formal Matrices

Authors: Krylov, Piotr, Tuganbaev, Askar

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  • Provides the first systematic treatment of formal matrices in a single volume
  • Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail
  • Includes concrete examples that illustrate the structures of formal matrix rings
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-53907-2
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Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-53906-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
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  • ISBN 978-3-319-85272-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.
While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings.
Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

Reviews

“This book is an attempt to give a rather comprehensive treatment of formal matrix rings. … I strongly recommend this book; it should definitely be in every serious university's library.” (Leon Van Wyk, Mathematical Reviews, November, 2017)

“The book is written in a friendly style. The presentation is clear and many good examples are given to illustrate the main concepts and results. The book is useful to researchers in ring theory and linear algebra. It is also suitable for graduate students.” (Sorin Dascalescu, zbMATH 1367.16001, 2017) 


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-53907-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-53906-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-319-85272-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Formal Matrices
Authors
Series Title
Algebra and Applications
Series Volume
23
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-53907-2
DOI
10.1007/978-3-319-53907-2
Hardcover ISBN
978-3-319-53906-5
Softcover ISBN
978-3-319-85272-0
Series ISSN
1572-5553
Edition Number
1
Number of Pages
VIII, 156
Topics