TY  - BOOK
AU  - Wehrung,Friedrich
TI  - Refinement monoids, equidecomposability types, and Boolean inverse semigroups
T2  - Lecture notes in mathematics
SN  - 9783319615981 (alk. paper)
U1  - 512.4 23
PY  - 2017///
CY  - Cham
PB  - Springer
KW  - Associative rings.
KW  - Rings (Algebra)
N1  - 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
N2  - 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.
ER  -