Lecture Notes in Mathematics

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Authors: Wehrung, Friedrich

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  • Offers a new, universal algebraic and lattice-theoretical approach
  • Provides tools for further work, for example on varieties of algebras, but also on operator theory
  • Includes many examples and counterexamples
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About this book

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-319-61599-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-61598-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2188
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-61599-8
DOI
10.1007/978-3-319-61599-8
Softcover ISBN
978-3-319-61598-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VII, 242
Number of Illustrations
5 b/w illustrations
Topics