Multiplicative Ideal Theory and Factorization Theory, 1st ed. 2016
Commutative and Non-commutative Perspectives
Springer Proceedings in Mathematics & Statistics Series, Vol. 170

Coordinators: Chapman Scott, Fontana Marco, Geroldinger Alfred, Olberding Bruce

Language: English

179.34 €

In Print (Delivery period: 15 days).

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Multiplicative Ideal Theory and Factorization Theory
Publication date:
Support: Print on demand

179.34 €

In Print (Delivery period: 15 days).

Add to cartAdd to cart
Multiplicative Ideal Theory and Factorization Theory
Publication date:
Support: Print on demand

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.

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).

Brings together both commutative and non-commutative perspectives on multiplicative theory and factorization theory for the first time in one volume?

Focuses on two significant strands of research in commutative algebra, which represent a long tradition in commutative ring theory

Contains survey papers by leading experts in the field

Includes supplementary material: sn.pub/extras