Le Matematiche  

Teresa Alberico, Costantino Capozzoli

Sunil D. Purohit, Daya L. Suthar, Shiam L. Kalla

In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind. The results are expressed in terms of generalized Wright function and hypergeome... see more

Kuang Jichang, Lokenath Debnath

In this paper some necessary and sufficient conditions are given for the Hilbert’s type operators to be bounded on the Herz spaces. The corresponding new operator norm inequalities are obtained.

Nguyen Thanh Chung, G.A. Afrouzi, A. Hadjian

In this paper, we prove the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems involving the (p_1, . . . , p_n )-Laplacian. The approach is based on a recent three critical points theorem obtained by B. Ricceri [9]. ... see more

Muhammad A. Latif, Sever S. Dragomir

In this paper some new Ostrowski type inequalities for co-ordinated s-convex functions in the second sense are obtained.

Mats Boij, Ralf Froberg

This is a presentation of articles started in Pragmatic 2011.

Michal Lason

In this note we prove the relation between Betti numbers of an Arf semigroup S and its blowup S in the case when they have the same multiplicity n.

Neeraj Kumar, Ivan Martino

In the article [4] two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also extend these results.

Inga Heudtlass, Lukas Katthän

We give a classification of flag Bier spheres, as well as descriptions of the first and second Betti numbers of general Bier spheres. Additionally, we compute the Betti numbers for a specific class of Bier spheres, constructed from skeletons of a full sim... see more

Neeraj Kumar, Ivan Martino

In this article, we carry out the investigation for regular sequences of symmetric polynomials in the polynomial ring in three and four variable. Any two power sum element in C[x_1, x_2, . . . , x_n] for n = 3 always form a regular sequence and we state t... see more

Yohannes Tadesse

We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q where I_q is a monomial ideal generated by the q’th power of monomial generators of I. We compute the Poincaré series for a new class of monomial ideals with m... see more

Carmela Ferrò, Mariella Murgia, Oana Stefania Olteanu

We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d-path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a ... see more

Vincenzo Micale, Anda Georgiana Olteanu

For any numerical semigroup S, there are infinitely many numerical symmetric semigroups T such that S = T/2 (see below for the definition of T/2) is their half. We are studying the Betti numbers of the numerical semigroup ring K[T ] when S is a 3-generate... see more

Cristina Bertone, Dang H. Nguyen, Kathrin Vorwerk

In this paper, we study different generalizations of the notion of square freeness for ideals to the more general case of modules. We describe the cones of Hilbert functions for squarefree modules in general and those generated in degree zero. We give the... see more

Daniel Brinkmann, Marianne Merz

We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.

Ornella Greco, Matey Mateev, Christof Söger

Given two h-vectors, h and h', we study which are the possible h-vectors for the union of two disjoint sets of points in P^2 , respectively associated to h and h' and how they can be constructed. We will give some bounds for the resulting h-vector and we ... see more

Giuseppe Favacchio, Phong Dinh Thieu

It is known that graded cyclic modules over S = K[x, y] have the Weak Lefschetz Property (WLP). This is not true for non-cyclic modules over S. The purpose of this note is to study which conditions on S-modules ensure the WLP. We give an algorithm to test... see more