The Structure of Certain Ideal Transforms.
Displaying 181 – 200 of 253
The structure of indecomposable injective modules.
Robert M. Fossum (1975)
Mathematica Scandinavica
The tame degree and related invariants of non-unique factorizations
Franz Halter-Koch (2008)
Acta Mathematica Universitatis Ostraviensis
Local tameness and the finiteness of the catenary degree are two crucial finiteness conditions in the theory of non-unique factorizations in monoids and integral domains. In this note, we refine the notion of local tameness and relate the resulting invariants with the usual tame degree and the -invariant. Finally we present a simple monoid which fails to be locally tame and yet has nice factorization properties.
The tensor product of polynomials.
Schwingel, Ruth (1999)
Experimental Mathematics
The theory of quasi-divisors on cartesian products
Aleka Kalapodi, Angeliki Kontolatou (2000)
Acta Mathematica et Informatica Universitatis Ostraviensis
The theta ideal, dense submodules and the forcing linearity number for a multiplication module.
Gaur, Atul, Maloo, Alok Kumar (2009)
Beiträge zur Algebra und Geometrie
The torsion problem of H.-J. Reiffen and U. Vetter
Erich Platte (1986)
Compositio Mathematica
The torsion theory and the Melkersson condition
Takeshi Yoshizawa (2020)
Czechoslovak Mathematical Journal
We consider a generalization of the notion of torsion theory, which is associated with a Serre subcategory over a commutative Noetherian ring. In 2008 Aghapournahr and Melkersson investigated the question of when local cohomology modules belong to a Serre subcategory of the module category. In their study, the notion of Melkersson condition was defined as a suitable condition in local cohomology theory. One of our purposes in this paper is to show how naturally the concept of Melkersson condition...
The total graph of a module
Zoran Pucanović (2011)
Matematički Vesnik
The total torsion element graph of a module over a commutative ring.
Atani, Shahabaddin Ebrahimi, Habibi, Shokoofe (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
The tropical Grassmannian.
Speyer, David, Sturmfels, Bernd (2004)
Advances in Geometry
The valuated ring of the arithmetical functions as a power series ring
Emil Daniel Schwab, Gheorghe Silberberg (2001)
Archivum Mathematicum
The paper examines the ring of arithmetical functions, identifying it to the domain of formal power series over in a countable set of indeterminates. It is proven that is a complete ultrametric space and all its continuous endomorphisms are described. It is also proven that is a quasi-noetherian ring.
The Waring loci of ternary quartics.
Chipalkatti, Jaydeep (2004)
Experimental Mathematics
The work of Jan-Erik Roos on the cohomology of commutative rings.
Avramov, Luchezar L. (2002)
Homology, Homotopy and Applications
The Zariski category of graded commutative rings
Yves Diers (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
The Zero-Dimensional Galois Cohomology of Witt Rings.
A. Rosenberg, R. Ware (1970)
Inventiones mathematicae
Théorème de Hilbert-Samuel «arithmétique»
Ahmed Abbes, Thierry Bouche (1995)
Annales de l'institut Fourier
On donne une nouvelle démonstration directe du théorème de Hilbert-Samuel arithmétique et on déduit un critère numérique pour l’existence de sections d’un fibré en droite sur une variété arithmétique de norme sup inférieure à un.
Théorème de Kaplansky effectif pour des valuations de rang 1 centrées sur des anneaux locaux réguliers et complets
Jean-Christophe San Saturnino (2014)
Annales de l’institut Fourier
On montre que tout anneau local régulier complet muni d’une valuation de rang peut être plongé, en tant qu’anneau valué, dans un anneau de séries de Puiseux généralisées.
Théorème des zéros effectif et élimination
P. Philippon (1989)
Journal de théorie des nombres de Bordeaux
Les paragraphes 1 et 2 rappellent les circonstances de l'exposé oral, tandis que le paragraphe 3 aborde un aspect particulier de la théorie de l'élimination : une notion de multiplicité d'un idéal en un point. Cette partie est le fruit de passionnantes discussions avec F. Amoroso.
Théorèmes de préparation Gevrey et étude de certaines applications formelles
Augustin Mouze (2003)
Annales Polonici Mathematici
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove preparation theorems of Malgrange type in these rings. As a consequence we study maps F from to without constant term such that the rank of the Jacobian matrix of F is equal to 1. Let be a formal power series. If F is a holomorphic map, the following result is well known: ∘ F is analytic implies there exists a convergent power series...