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- Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann
- ACM Comm. Computer Algebra
- 2008

SINGULAR is a specialized computer algebra system for polynomial computations with emphasize on the needs of commutative algebra, algebraic geometry, and singularity theory. SINGULAR’s main computational objects are polynomials, ideals and modules over a large variety of rings, including important non-commutative rings. SINGULAR features one of the fastest… (More)

- Radu Laza, Gerhard Pfister, Dorin Popescu
- 2002

Let R = k[Y1, Y2, Y3]/(f ), f = Y 3 1 + Y 3 2 + Y 3 3 , where k is an algebraically closed field with char k = 3. Using Atiyah bundle classification over elliptic curves we describe the matrix factorizations of the graded, indecomposable reflexive R-modules, equivalently we describe explicitly the indecomposable bundles over the projective curve V (f )⊂ P2… (More)

- Nazeran Idrees, Gerhard Pfister, Stefan Steidel
- J. Symb. Comput.
- 2011

- Janko Böhm, Wolfram Decker, Santiago Laplagne, Gerhard Pfister, Andreas Steenpaß, Stefan Steidel
- J. Symb. Comput.
- 2013

Article history: Received 14 October 2011 Accepted 23 March 2012 Available online 4 July 2012

- Gert-Martin Greuel, Gerhard Pfister, Hans Schönemann
- The Computer Science Journal of Moldova
- 1997

- Gerhard Pfister, Dale R. Hanson, James L Roerig, Ronald P Landbloom, Michael K. Popkin
- The Journal of clinical psychiatry
- 1992

BACKGROUND
Approximately 30% of schizophrenic patients defined as treatment refractory significantly improve with clozapine. However, clozapine produces agranulocytosis in approximately 1% to 2% of patients in the United States. The mechanism of clozapine-induced agranulocytosis has not been established, but evidence suggests an immune-mediated mechanism.… (More)

- Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskĭı, Gerhard Pfister, Eugene Plotkin
- 2006

We characterise the class of finite solvable groups by two-variable identities in a way similar to the characterisation of finite nilpotent groups by Engel identities. Let u1 = x−2y−1x, and un+1 = [xunx−1, yuny−1]. The main result states that a finite group G is solvable if and only if for some n the identity un(x, y) ≡ 1 holds in G. We also develop a new… (More)

This article is devoted to the problem of constructing geometric quotients of a quasiaffine scheme X over a field of characteristic 0 by a unipotent algebraic group G. This problem arises naturally if one tries to construct moduli spaces in the sense of Mumford's 'geometric invariant theory' for singularities of algebraic varieties or for modules over the… (More)

- Tatiana Bandman, Gert-Martin Greuel, +4 authors Jean-Pierre Serre
- 2003

We characterise the solvable groups in the class of finite groups by an inductively defined sequence of two-variable identities. Our main theorem is the analogue of a classical theorem of Zorn which gives a characterisation of the nilpotent groups in the class of finite groups by a sequence of two-variable identities. To cite this article: T. Bandman et… (More)

- Janko Böhm, Wolfram Decker, Claus Fieker, Gerhard Pfister
- Math. Comput.
- 2015

A standard method for finding a rational number from its values modulo a collection of primes is to determine its value modulo the product of the primes via Chinese remaindering, and then use Farey sequences for rational reconstruction. Successively enlarging the set of primes if needed, this method is guaranteed to work if we restrict ourselves to “good”… (More)