Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Gotzmann lexsegment ideals
Get PDFIn this paper we characterize the componentwise lexsegment ideals which are componentwise linear and the lexsegment ideals generated in one degree which are Gotzmann
Some remarks on the Stanley depth for multigraded modules
Get PDFWe show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, where S = K[x_1; ... ; x_n]. Also, we give some bounds for the Stanley depth of the powers of the maximal irrelevant ideal in S
Extended solutions of a system of nonlinear integro-differential equations
Get PDFThis paper deals with extended solutions of a system of nonlinear integro-differential equations. This system is obtained in the process of applying the Galerkin method for some initial-boundary value problems
Henstock integral and Dini-Riemann theorem
Get PDFIn [5] an analogue of the classical Dini-Riemann theorem related to non-absolutely convergent series of real number is obtained for the Lebesgue improper integral. Here we are extending it to the case of the Henstock integral
Studio di una classe notevole di anelli dotata di inverso generalizzato
Get PDFWe study a remarkable class of rings, which we call corpids, that is the rings, different from zero, (K;+; .); such that (K; .) is an inverse semi-group (or groupid, which is the name given by G. Tallini [4]). The inverse semigroup has been defined and called generalized group, indipendently by Viktor Vladimirovich Vagner [6] in the Soviet Union and by Gordon Preston in the Great Britain [3]
Existence of solutions for some degenerate quasilinear elliptic equations
Get PDFIn this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations
Common fixes points in ordered Banach spaces
Get PDFIn this paper we introduce the notion of g-weak isotone mappings in an ordered Banach space and we extend some common fixed point theorems of Dhage, O’Regan and Agarwal [1]
The standard graded property for vertex cover algebras of quasi-trees
Get PDFIn [5] the authors characterize the vertex cover algebras which are tandard graded. In this paper we give a simple combinatorial criterion for the standard graded property of vertex cover algebras in the case of quasi-trees. We also give an example of how this criterion works and compute the maximal degree of a minimal generator in that case
One parameter dual lorentzian spherical motions and ruled surfaces
Get PDFIn this work, we first introduced one parameter dual Lorentzian spherical motions in three dimensional dual Lorentz space D^3_1 and spacelikeand timelike ruled surfaces in three dimensional Lorentz space IR^3_1 corresponding to dual curves on dual Lorentz unit sphere S^2_1. After that we have given the relations on the velocities and instantaneous rotation axis for one parameter Lorentzian spherical motions in dual Lorentz space D^3_1, with some examples on these timelike and spacelike ruled surfaces. Finally we have obtained the theorem related to the acceleration, acceleration centres and acceleration axis for these one parameter dual Lorentzian spherical motions.  
Second order evolution inclusions governed by sweeping process in Banach spaces
Get PDFIn this paper we prove two existence theorems concerning the existence of solutions for second order evolution inclusions governed by sweeping process with closed convex sets depending on time and state in Banach spaces. This work extends some recent existence theorems cncerning sweeping process from Hilbert spaces to Banach spaces