1 citations · 1 across the 6 of their papers we have counts for
6 papers
Reducibility by polynomial functions
Riccardo Camerlo, Carla Massaza
We study the preorder on the family of subsets of an algebraically closed field of characteristic defined by letting if there exists a polynomial such th…
On the Intermediate Value Theorem over a Valued Field
Carla Massaza, Lea Terracini, Paolo Valabrega
The paper proves the intermediate value theorem for polynomials and power series over a valued field with divisible valuation group and infinite residue field. Some further results…
Double series over a non-Archimedean field
Luigi Corgnier, Carla Massaza, Paolo Valabrega
In the present paper we investigate the convergence of a double series over a complete non-Archimedean field and prove that, while the proofs are somewhat different, the Archimedea…
The intermediate value theorem over a non-Archimedean field via Hensel's Lemma
L. Corgnier, C. Massaza, P. Valabrega
The paper proves that all power series over a maximal ordered Cauchy complete non-Archimedean field satisfy the intermediate value theorem on every closed interval. Hensel's Lemma…
Strongly inessential elements of a perfect height 2 ideal
Giannina Beccari, Carla Massaza
In this paper we expand on some results exposed in a previous one, in which we introduced the concept of inessential and strongly inessential generators in a standard basis of a sa…
Essential and inessential elements of a standard basis
Giannina Beccari, Carla Massaza
In this paper we introduce the concept of inessential element of a standard basis of I, where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly sp…