Commutative Algebra Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions /

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 contributi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Fontana, Marco (Editor ), Frisch, Sophie (Editor ), Glaz, Sarah (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Commutative algebra.
Commutative rings.
Algebra, Homological.
Algebraic topology.
Commutative Rings and Algebras.
Category Theory, Homological Algebra.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Weak global dimension of Prüfer-like rings (K. Adarbeh, S
  • E. Kabbaj)
  • Quasi-complete semilocal rings and modules (D.D. Anderson)
  • On the total graph of a ring and its related graphs: A survey (A. Badawi)
  • Prime ideals in polynomials and power series rings over Noetherian domains
  • Integer-valued polynomials: Looking for regular bases (J
  • L. Chabert)
  • On Boolean subrings of rings (I. Chajda, G. Eigenthaler)
  • On a new class of integral domains with the portable property (D.E. Dobbs, G. Picavet, M. Picavet-L'Hermitte)
  • The probability that Intn(D) is free (J. Elliott)
  • Some closure operations in Zariski-Riemann spaces of valuation domains: A survey (C.A. Finocchiaro, M. Fontana, K.A. Loper)
  • Ten problems on stability of domains (S. Gabelli)
  • The Development of non-Noetherian grade and its applications (L. Hummel)
  • Stable homotopy theory, formal group laws, and integer-valued polynomials (K. Johnson)
  • How to construct huge chains of prime ideals in power series rings (B.G. Kang, P.T. Toan)
  • Localizing global properties to individual maximal idals (T.G. Lucas)
  • Prime ideals that satisfy Hensel's Lemma (S. McAdam)
  • Finitely stable rings (B. Olberding)
  • Integral closure of rings of integer-valued polynomials on algebras (G. Peruginelli, N.J. Werner)
  • On monoids and domains whose monadic submonoids are Krull (A. Reinhart)
  • Integral closure (I. Swanson)
  • Open problems in commutative ring theory (P
  • J. Cahen, M. Fontana, S. Frisch, S. Glaz).

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