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In this paper, we consider a monomial ideal J ? P : = A x 1 , ? , x n , over a commutative ring A, and we face the problem of the characterization for the family M f ( J ) of all homogeneous ideals I… (More)
Abstract Following the recent survey on Buchberger–Zacharias Theory for monoid rings R [ S ] over a unitary effective ring R and an effective monoid S , we propose here a presentation of… (More)
We present here a new approach for computing Groebner bases for bilateral modules over an effective ring. Our method is based on Weispfenning notion of restricted Groebner bases and related… (More)
The internet of things (IoT) refers to all the smart objects that are connected to other objects, devices or servers and that are able to collect and share data, in order to “learn” and improve their… (More)
Aim of this paper is to count $0$-dimensional stable and strongly stable ideals in $2$ and $3$ variables, given their (constant) affine Hilbert polynomial. To do so, we define the Bar Code, a… (More)
Given a finite set of distinct points, a separator family is a set of polynomials, each one corresponding to a point of the given set, such that each of them takes value one at the corresponding… (More)