Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Buch in deiner Nähe kaufen
Beschreibung
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.
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
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 Includes supplementary material: sn.pub/extras
Autor*in
Friedrich Wehrung
Themen in »Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups«
Additive homomorphism Bias Boolean Commutative Distributive Equidecomposable Inverse Refinement Monoid Semigroup V-measure