Cover Image

Rosenbrock's Theorem characterizes Prüfer domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Noferini, Vanni
Format:	Preprint
Published:	2026
Subjects:	Commutative Algebra
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Eventual periodicity of the Smith forms of integer matrix powers
by: Noferini, Vanni
Published: (2025)

The Smith form of Sylvester and Bézout matrices for zero-dimensional ideals
by: Lindy, Etna, et al.
Published: (2025)

The Japanese and universally Japanese properties for valuation rings and Prüfer domains
by: Lyu, Shiji
Published: (2025)

The complete integral closure of a Prüfer domain is a topological property
by: Spirito, Dario
Published: (2024)

On $ϕ$-Prüfer like conditions
by: Anebri, Adam, et al.
Published: (2024)

Groups of invertible ideals of one-dimensional Prüfer domains as groups of integer-valued functions
by: Spirito, Dario
Published: (2026)

Some remarks on Prüfer rings with zero-divisors
by: Campanini, Federico, et al.
Published: (2024)

Module-Theoretic Characterizations of Prufer $v$-Multiplication Domains
by: Zhang, Xiaolei, et al.
Published: (2025)

Rosenbrock's Theorem on System Matrices over Elementary Divisor Domains
by: Dopico, Froilán, et al.
Published: (2024)

A classification of Prufer domains of integer-valued polynomials on algebras
by: Peruginelli, Giulio, et al.
Published: (2025)

Intersection Theorem for DG-modules
by: Yang, Xiaoyan
Published: (2024)

Euclidean domains with no multiplicative norms
by: Dastrup, Caleb J., et al.
Published: (2025)

The Second Vanishing Theorem for Local Cohomology Modules
by: Zhang, Wenliang
Published: (2021)

Birkhoff-style Theorems Through Infinitary Clone Algebras
by: Bucciarelli, Antonio, et al.
Published: (2024)

The Second Vanishing Theorem for Formal Local Cohomology Modules
by: Sadeqi, Behruz
Published: (2025)

On deformation of perfectoid purity in Gorenstein domains
by: Baily, Benjamin, et al.
Published: (2025)

An introduction to reciprocal complements of integral domains
by: Epstein, Neil, et al.
Published: (2025)

Extension of the Fundamental Theorem of Algebra for Polynomial Matrix Equations with Circulant Matrices
by: Abramov, Vyacheslav M.
Published: (2024)

Some characterizations of Gorenstein Rees Algebras
by: Iai, Shin-ichiro
Published: (2024)

The perfection can be a non-coherent GCD domain
by: Simpson, Austyn
Published: (2024)

The space of homogeneous preserving semistar operations on graded domains
by: Sahandi, Parviz
Published: (2024)

Local properties of integral domains under extensions and pullback constructions
by: Baek, Hyungtae, et al.
Published: (2026)

Integer-valued rational functions over globalized pseudovaluation domains
by: Liu, Baian
Published: (2023)

$F$-injectivity does not imply $F$-fullness in normal domains
by: De Stefani, Alessandro, et al.
Published: (2025)

Some new module-theoretic characterizations of $S$-coherent rings
by: Zhang, Xiaolei
Published: (2024)

Towards a characterization of the inverse systems of complete intersections
by: Elias, Joan
Published: (2024)

Some classes of one-dimensional rings characterized by their reflexive ideals
by: Campochiaro, Pietro, et al.
Published: (2025)

On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
by: Ikeda, Rirai
Published: (2026)

The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings
by: Alon, Gil, et al.
Published: (2025)

Decidability for the theory of modules over a Prüfer domain
by: Gregory, Lorna
Published: (2021)

On Kaplansky's Embedding Theorem
by: Teissier, Bernard
Published: (2025)

On the effective Pourchet's Theorem
by: Benitez, Teresa Cortadellas, et al.
Published: (2025)

The Jordan canonical form of the Fréchet derivative of a matrix function and the bivariate Jordan problem
by: Noferini, Vanni
Published: (2025)

Tensor Enriched Categorical Generalization of the Eilenberg-Watts Theorem
by: Lee, Jaehyeok
Published: (2023)

A combinatorial characterization of $S_2$ binomial edge ideals
by: Bolognini, Davide, et al.
Published: (2023)

Polynomials as terms and the Boolean Independence Theorem
by: Klazar, M.
Published: (2024)

Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem
by: Paradan, Paul-Emile
Published: (2023)

A special form of Zariski's Uniformization Theorem in positive characteristic
by: Popescu, Dorin
Published: (2025)

Classifying smashing ideals in derived categories of valuation domains
by: Balchin, Scott, et al.
Published: (2024)

On the Extensions of the Cohen Structure Theorem
by: Goswami, Amartya
Published: (2024)