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Maple:Involutive

System Name Maple
Package Name Involutive
Link http://wwwb.math.rwth-aachen.de/Janet/
Modified by Daniel Robertz
Email
incomplete information or not officially approved by the authors

Coefficient Domains
Rings as Coefficients Z
Z[x]
Other Rings
Floating Point Numbers (up to precision, if limited)
Basic Exact Fields Q
Z/pZ
Maximal value for prime p (if limited) Unlimited
Extension Fields simple algebraic extensions
algebraic extensions
transcendental extensions
Other Fields

Monomial Orderings
classical well-orderings (Lex, DegLex, DegRevLex)
weighted well-orderings (WDegLex, WDegRevLex)
product (block) orderings
matrix-defined orderings
extra weight (elimination) orderings
local orderings
Other Ordering

Functionality Criteria

Ideals
Submodules of free modules

Gröbner Basis
Standard Basis

FGLM
Gröbner Walk/Fractal Walk

Hilbert-driven Gröbner Basis
Factorizing Gröbner Basis

Faugère F4
Faugère F5

Heuristic Command based on "BestChoice"

Other variants of the algorithm, computing Gröbner Bases
Involutive algorithms (Janet and Janet-like) by Gerdt & Blinkov

Product Criterion

Chain Criterion

Gebauer-Möller Criterion

Other
involutive criteria by Gerdt & Blinkov

Elements of Gröbner Basics

Syzygies and resolutions

Lift (Transformation matrix between two bases)

Elimination

(Krull) dimension

Other none

Other functionality
- computation of minimal polynomial for elements of residue class rings
- computation of free resolutions using Janet's approach
- generalized Hilbert series (= Z^n-graded Hilbert series)
- interface to JB
- interface to GINV
- interface to homalg, and therefore to all methods from homological algebra implemented there

Highlights
See the above section about functionality.