QuillenSuslin swMATH ID: 8611 Software Authors: Anna Fabiańska Description: QuillenSuslin is a Maple implementation of a constructive version of the Quillen-Suslin Theorem. It provides an algorithm which computes a basis of a free module over a polynomial ring. In terms of matrices, this algorithm completes a unimodular rectangular matrix (e.g. a unimodular row) to an invertible matrix over the given polynomial ring with rational or integer coefficients. The package was also extended with Park’s Algorithm to deal with unimodular rows over Laurent polynomial rings and with heuristic methods for localizations of polynomial rings. Homepage: https://wwwb.math.rwth-aachen.de/QuillenSuslin/ Dependencies: Maple Related Software: SINGULAR; Macaulay2; Janet; QuillenSuslin; CHomP; REPSN; GCLC; Maple; OreMorphisms; OreModules; homalg; Plural; Magma; LiE; Z; Mod-p group cohomology; KILLING; PersistenceImages; Formigramator; AlexNet Cited in: 12 Publications all top 5 Cited by 22 Authors 2 Jambor, Sebastian 2 Lu, Dong 2 Robertz, Daniel 2 Wang, Dingkang 1 Barakat, Mohamed 1 Barthel, Tobias 1 Barwick, Brett 1 Fabiańska, Anna 1 Feragen, Aasa 1 Grip, Niklas 1 Hotz, Thomas 1 Huckemann, Stephan F. 1 Krause, Henning 1 Ma, XiaoDong 1 Miller, Ezra 1 Monceur, Samiha 1 Pfander, Götz E. 1 Quadrat, Alban 1 Stojanoska, Vesna 1 Stone, Branden 1 Xiao, Fanghui 1 Yengui, Ihsen all top 5 Cited in 7 Serials 2 Multidimensional Systems and Signal Processing 2 Oberwolfach Reports 1 Colloquium Mathematicum 1 Journal of Algebra 1 Journal of Symbolic Computation 1 Journal of Algebra and its Applications 1 The Journal of Software for Algebra and Geometry all top 5 Cited in 16 Fields 6 Commutative algebra (13-XX) 4 Computer science (68-XX) 3 Algebraic geometry (14-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 1 Category theory; homological algebra (18-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year