BIBFRAME Work

Title

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Type

  • Text
  • Monograph

Contribution

Wehrung, Friedrich (author )

Subject

Language

Classification

  • DDC: 512.2
  • LCC: QA174-183 (Status: nuba, p)

Content

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. 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

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.

Authorized Access Point

Wehrung, Friedrich. Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Admin Metadata

  • Date: 2026-09-11T20:11:58.371605+00:00
  • Agent: cbc
  • Status: c
  • Derived from: 21734221

Admin Metadata

  • Date: 2026-09-11
  • Cataloger id: Unknown
  • Description level: http://id.loc.gov/ontologies/bibframe-2-6-0/
  • Description language: eng
  • Description authentication: pcc

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