Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives /

This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22-26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theor...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Chapman, Scott (Editor), Fontana, Marco (Editor), Geroldinger, Alfred (Editor), Olberding, Bruce (Editor)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Springer Proceedings in Mathematics & Statistics, 170
Subjects:
Commutative algebra.
Commutative rings.
Number theory.
Group theory.
Associative rings.
Associative algebras.
Algebraic geometry.
Commutative Rings and Algebras.
Number Theory.
Group Theory and Generalizations.
Associative Rings and Algebras.
Algebraic Geometry.
Online Access:Texto Completo
Table of Contents:
  • Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi)
  • About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert)
  • The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger)
  • Ring and semigroup constructions (M. D'Anna)
  • New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito)
  • Relative polynomial closure and monadically Krull monoids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath)
  • Prüfer Domains of Integer-Valued Polynomials (K.A. Loper, M. Syvuk)
  • Lobal Properties of Integral Domains (T.G. Lucas)
  • Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding)
  • Noetherian semigroup algebras and beyond (J. Okniński)
  • Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo)
  • Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid)
  • Factorizations of elements in noncommutative rings: A survey (D. Smertnig).

Similar Items