24 citations · 37 across the 13 of their papers we have counts for
14 papers
Standard Bases over Euclidean Domains
Christian Eder, Gerhard Pfister, Adrian Popescu
In this paper we state and explain techniques useful for the computation of strong Gröbner and standard bases over Euclidean domains: First we investigate several strategies for cr…
Algorithms in the classical Néron Desingularization
Asma Khalid, Adrian Popescu, Dorin Popescu
We give algorithms to construct the Néron Desingularization and the easy case from \cite{KK} of the General Néron Desingularization.
New Strategies for Standard Bases over Z
Christian Eder, Gerhard Pfister, Adrian Popescu
Experiences with the implementation of strong Gröbner bases respectively standard bases for polynomial rings over principal ideal rings are explained: different strategies for crea…
A method to compute the General Neron Desingularization in the frame of one dimensional local domains
Adrian Popescu, Dorin Popescu
An algorithmic proof of General Neron Desingularization is given here for one dimensional local domains and it is implemented in \textsc{Singular}. Also a theorem recalling Greenbe…
Depth and Stanley Depth of the Canonical Form of a factor of monomial ideals
Adrian Popescu
In this paper we show that the depth and the Stanley depth of the factor of two monomial ideals is invariant under taking a so called canonical form. It follows easily that the Sta…
Four generated, squarefree, monomial ideals
Adrian Popescu, Dorin Popescu
Let be two squarefree monomial ideals of a polynomial algebra over a field generated in degree , resp. . Suppose that is either generated by…