Multiplicative Ideal Theory and Factorization Theory

Commutative and Non-commutative Perspectives

Häftad, Engelska, 2018

AvScott Chapman,Marco Fontana,Alfred Geroldinger,Bruce Olberding

2 259 kr

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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.

Produktinformation

Utgivningsdatum2018-05-30
Mått155 x 235 x 23 mm
Vikt639 g
FormatHäftad
SpråkEngelska
SerieSpringer Proceedings in Mathematics & Statistics
Antal sidor407
FörlagSpringer International Publishing AG
ISBN9783319817644

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Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Talteori inom Naturvetenskap och teknik

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 algebrasand 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).