Ideal systems : an introduction to multiplicative ideal theory
Author(s)
Bibliographic Information
Ideal systems : an introduction to multiplicative ideal theory
（Monographs and textbooks in pure and applied mathematics, 211）
Marcel Dekker, c1998
Available at / 47 libraries
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:512.4/H1682070437533
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
Description
"Provides for the first time a concise introduction to general and multiplicative ideal theory, valid for commutative rings and monoids and presented in the language of ideal systems on (commutative) monoids."
Table of Contents
- Part 1 General ideal theory: monoids and monoid homomorphisms
- arithmetic of ideal systems
- finitary and noetherian ideal systems
- monoids of quotients
- comparison and mappings of ideal systems
- prime and primary ideals
- quotients of primary ideals and primary decompositions
- strictly noetherian ideal systems
- the intersection theorem and the principal ideal theorem. Part 2 Multiplicative ideal theory: abstract elementary number theory
- fractional divisorial ideals
- invertible ideals and class groups
- arithmetic of invertible and cancellative ideals
- integrative closures
- valuation monoids and primary monoids
- ideal theory of valuation monoids
- Prufer and Bezout monoids
- essential homomorphisms, GCD-homomorphisms and valuations
- Lorenzen monoids
- quasi divisor theories
- defining systems
- Krull monoids and generalizations
- (almost) Dedekind and Krull monoids
- t-noetherian monoids
- approximation theorems
- divisorial defining systems and class groups
- arithmetical properties of overmonoids
- solutions of exercises
- a guide to results on special integral domains.
by "Nielsen BookData"