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Refinement monoids, equidecomposability types, and Boolean inverse semigroups / Friedrich Wehrung.

By: Material type: TextTextSeries: Lecture notes in mathematics ; 2188.Publication details: Cham : Springer, 2017.Description: vii, 240 pages ; 24 cmISBN:
  • 9783319615981 (alk. paper)
Subject(s): DDC classification:
  • 512.4 23 W414
Contents:
Chapter 1. Background.- Chapter 2. Partial commutative monoids. - Chapter 3. Boolean inverse semigroups and additive semigroup homorphisms.- Chapter 4. Type monoids and V-measures. - Chapter 5. Type theory of special classes of Boolean inverse semigroups. - Chapter 6. Constructions involving involutary semirings and rings. - Chapter 7. discussion. - Bibliography.- Author Index. - Glossary.- Index.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.4 W414 (Browse shelf(Opens below)) Available 138241
Total holds: 0

Include index and bibliographical references and indexes.

Chapter 1. Background.-
Chapter 2. Partial commutative monoids. -
Chapter 3. Boolean inverse semigroups and additive semigroup homorphisms.-
Chapter 4. Type monoids and V-measures. -
Chapter 5. Type theory of special classes of Boolean inverse semigroups. -
Chapter 6. Constructions involving involutary semirings and rings. -
Chapter 7. discussion. -
Bibliography.-
Author Index. -
Glossary.-
Index.

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.

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