Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007)

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https://www.openstarts.units.it/handle/10077/4029

CONTENTS

Giovanni Alessandrini and Edi Rosset
Symmetry of Singular Solutions of Degenerate Quasilinear Elliptic Equations

Margherita Barile
On Simplicial Toric Varieties of Codimension 2

Giandomenico Boffi and Alessandro Logar
Gröbner Bases for Submodules of Zⁿ

Denis Bonheure, P. Habets, Franco Obersnel and Pierpaolo Omari
Classical and non-Classical Positive Solutions of a Prescribed Curvature Equation with Singularities

Francis Borceux, Marino Gran and Sandra Mantovani
On Closure Operators and Reflections in Goursat Categories

Luca Bortolussi and Andrea Sgarro
Hamming-like Distances for Ill-defined Strings in Linguistic Classification

Ingrid Carbone and Aljoša Volčič
Kakutani's Splitting Procedure in Higher Dimension

Elena Comparini, Claudio Pescatore and Maura Ughi
On a Quasilinear Parabolic System Modelling the Diffusion of Radioactive Isotopes

Daniele Del Santo, Tamotu Kinoshita and Michael Reissig
Klein-Gordon Type Equations with a Singular Time-dependent Potential

Pietro De Poi and Emilia Mezzetti
On Congruences of Linear Spaces of Order One

Philippe Ellia and Alessandra Trambaiolli
Global Generation

Elena Grieco and Anna Guerrieri
Minimal Primes over P₃(M)

Monica Idà
Postulation Problems for Vector Bundles

Marina Pireddu and Fabio Zanolin
Some Remarks on Fixed Points for Maps which are Expansive along one Direction

Anna Scaramuzza
An Algorithm for Computing Primitive Relations

Alessandro Soranzo and Gino Tironi
Sequential Order of Compact Sequential Spaces

Walter Spangher
Some Remarks on Homogeneous Minimal Reductions

Janet Striuli
Strong Artin-Rees Property in Rings of Dimension One and Two

Bruno P. Zimmermann
On the Determination of Knots by their Cyclic Unbranched Coverings

Luciana Zuccheri and Verena Zudini
On the Influence of CognitiveTheories in the Teaching of Calculus in Austrian Secondary Schools at the Beginning of the 20th Century

Devendra Kumar
On Approximation of Linear Second Order Elliptic Partial Differential Equations with Analytic Coefficients

Andrei Vesnin
On Hyperbolic π-Orbifolds with Arbitrary many Singular Components

Peter V. Danchev
Note on Elongations of Summable p-Groups by p^ω⁺ⁿ-Projective p-Groups II

Raffaella Mascolo
Variations on Hartogs and Henkin-Tumanov Theorems

Federica Malagoli
A Problem of Minimum Area for Bodies with Constrains on Width and Curvature

S. Kundu and Pratibha Garg
Countability Properties of the Pseudocompact-Open Topology on C(X): A Comparative Study

Marcos Gaudiano, Tomàs Godoy and Cristina Turner
On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer

Carlo Benassi and Giuliana D'Ercole
An Algorithm for Reconstructing a Convex Polygon from its Covariogram

Details

Editorial policy The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication. The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools. All submitted papers will be refereed. Manuscripts are accepted for review with the understanding that the work has not been published before and is not under consideration for publication elsewhere. Our journal can be obtained by exchange agreements with other similar journals.

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Now showing 1 - 5 of 28

Some Remarks on Homogeneous Minimal Reductions
(EUT Edizioni Università di Trieste, 2007)
Spangher, Walter
Let I be a homogeneous ideal of a graded affine k–algebra R such that there exists some homogeneous minimal reduction. We prove that the degrees (of a basis) of every homogeneous minimal reduction J of I are uniquely determined by I; moreover if the fiber cone F(I) is reduced, then the last degree of J is equal to the last degree of I. Moreover, if R is Cohen– Macaulay and I is of analytic deviation one, with 0 < ht(I) := g, it is shown that the first g degrees of J are equals to the first g degrees of I. These results are applied to the ideals I of $k[x_0, . . . , x_{d−1}]$, which have scheme–th. generations of length \leq ht(I) + 2. Some examples are given.
1143 513
An Algorithm for Reconstructing a Convex Polygon from its Covariogram
(EUT Edizioni Università di Trieste, 2007)
Benassi, Carlo
;
D'Ercole, Giuliana
The covariogram of a compact convex set $K \subset \mathbb R^n$ is the function that at each point $x \in \mathbb R^n$ associates the volume of $K \cap (K + x)$. The covariogram determines, among all convex bodies, any planar convex polygon. In this paper we present an algorithm for reconstructing an arbitrary convex polygon from its covariogram.
1176 519
On the Limit Behavior in a Free Boundary Model for the Diffusion in a Polymer
(EUT Edizioni Università di Trieste, 2007)
Gaudiano, Marcos
;
Godoy, Tomas
;
Turner, Cristina
Free boundary problems arise modelling the sorption of solvents into glassy polymers. There are physical reasons to expect that a convective condition with coefficient h, behaves asymptotically as a Dirichlet condition. In this work we prove, analyzing the uniform convergence the equivalence of these problems. A condition is also derived that allows one to decide whether a specific application lies within the asymptotic regime.
999 487
Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
(EUT Edizioni Università di Trieste, 2007)
Kundu, S.
;
Garg, Pratibha
The main goal of this paper is to study the countability properties, such as the countable chain condition, Lindeöf property and second countability of the pseudocompact-open topology on C(X), the set of all continuous real-valued functions on a Tychonoff space X. But in order to make this study fruitful, these countability properties of the pseudocompact-open topology are compared with those of the point-open and compact-open topologies on C(X).
1303 754
A Problem of Minimum Area for Bodies with Constrains on Width and Curvature
(EUT Edizioni Università di Trieste, 2007)
Malagoli, Federica
In this paper we solve the problem of finding the convex plane body of minimum area with the hypothesis of having a limited radius of curvature, together with an assigned minimum width. This result allows us to give a new and mainly analytical proof of Pal’s Theorem.
1004 1022

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