Coverart for item
The Resource Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives, edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, (electronic resource)

Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives, edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, (electronic resource)

Label
Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives
Title
Multiplicative Ideal Theory and Factorization Theory
Title remainder
Commutative and Non-commutative Perspectives
Statement of responsibility
edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding
Contributor
Editor
Provider
Subject
Language
eng
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
Member of
Image bit depth
0
LC call number
QA251.3
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Chapman, Scott.
  • Fontana, Marco.
  • Geroldinger, Alfred.
  • Olberding, Bruce.
  • SpringerLink
Series statement
Springer Proceedings in Mathematics & Statistics,
Series volume
170
http://library.link/vocab/subjectName
  • Mathematics
  • Algebraic geometry
  • Associative rings
  • Rings (Algebra)
  • Commutative algebra
  • Commutative rings
  • Group theory
  • Number theory
  • Mathematics
  • Commutative Rings and Algebras
  • Number Theory
  • Group Theory and Generalizations
  • Associative Rings and Algebras
  • Algebraic Geometry
Label
Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives, edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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)
Dimensions
unknown
Extent
XIV, 407 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319388557
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-38855-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-38855-7
Label
Multiplicative Ideal Theory and Factorization Theory : Commutative and Non-commutative Perspectives, edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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)
Dimensions
unknown
Extent
XIV, 407 p. 4 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319388557
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-38855-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-38855-7

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