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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Multiplicative Ideal Theory and Factorization Theory/ edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding.
Reminder of title:	Commutative and Non-commutative Perspectives /
other author:	Chapman, Scott.
Description:	XIV, 407 p. 4 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Commutative algebra. -
Online resource:	https://doi.org/10.1007/978-3-319-38855-7
ISBN:	9783319388557

Multiplicative Ideal Theory and Factorization Theory = Commutative and Non-commutative Perspectives /
Multiplicative Ideal Theory and Factorization TheoryCommutative and Non-commutative Perspectives /[electronic resource] :edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding. - 1st ed. 2016. - XIV, 407 p. 4 illus.online resource. - Springer Proceedings in Mathematics & Statistics,1702194-1009 ;. - Springer Proceedings in Mathematics & Statistics,125.

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).

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 theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.

ISBN: 9783319388557

Standard No.: 10.1007/978-3-319-38855-7doiSubjects--Topical Terms:

672047
Commutative algebra.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

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