COMMUTATIVE ALGEBRA

COMMUTATIVE ALGEBRA. RECENT ADVANCES IN COMMUTATIVE RINGS, INTEGER-VALUED POLYNOMIALS, AND POLYNOMIAL FUNCTIONS

Editorial:
SPRINGER
Año de edición:
Materia
Matematicas
ISBN:
978-1-4939-0924-7
Páginas:
384
N. de edición:
1
Idioma:
Inglés
Ilustraciones:
20
Disponibilidad:
Disponible en 2-3 semanas

Descuento:

-5%

Antes:

98,79 €

Despues:

93,85 €

- Contributions cover the flourishing areas of commutative algebra, not yet well represented in published literature.
- Contains 100 open problems supplied by the authors.
- Provides a multi-dimensional survey of the recent development of the field and an extensive bibliography.
This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.

Table of contents (20 chapters)
1.Weak Global Dimension of Prüfer-Like Rings
2.Quasi-complete Semilocal Rings and Modules
3.On the Total Graph of a Ring and Its Related Graphs: A Survey
4.Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains
5.Integer-Valued Polynomials: Looking for Regular Bases (A Survey)
6.On Boolean Subrings of Rings
7.On a New Class of Integral Domains with the Portable Property
8.The Probability That Int
9.Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey
10.Ten Problems on Stability of Domains
11.The Development of Non-Noetherian Grade and Its Applications
12.Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials
13.How to Construct Huge Chains of Prime Ideals in Power Series Rings
14.Localizing Global Properties to Individual Maximal Ideals
15.Prime Ideals That Satisfy Hensel’s Lemma
16.Finitely Stable Rings
17.Integral Closure of Rings of Integer-Valued Polynomials on Algebras
18.On Monoids and Domains Whose Monadic Submonoids Are Krull
19.Integral Closure
20.Open Problems in Commutative Ring Theory