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Multiplicative ideal theory and factorization theory [electronic resource] : commutative and non-commutative perspectives / Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, editors.

Chapman, Scott T., editor.; Fontana, Marco, 1947- editor.; Geroldinger, Alfred, editor.; Olberding, Bruce, editor.
2016
QA251.38
Available Online
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Title
Multiplicative ideal theory and factorization theory [electronic resource] : commutative and non-commutative perspectives / Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, editors.
ISBN
9783319388557 (electronic book)
331938855X (electronic book)
9783319388533
DOI
https://doi.org/10.1007/978-3-319-38855-7
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (xiv, 407 pages) : illustrations.
Item Number
10.1007/978-3-319-38855-7 doi
Call Number
QA251.38
Dewey Decimal Classification
512/.4
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 3, 2016).
Added Author
Chapman, Scott T., editor.
Fontana, Marco, 1947- editor.
Geroldinger, Alfred, editor.
Olberding, Bruce, editor.
Series
Springer proceedings in mathematics & statistics ; v. 170.
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
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).

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