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Comparison
Commutative Packages
Non–Commutative Packages
Bergman:Bergman, commutative mode
DoCon:Groebner basis
GINV:GINV
JAS:edu.jas.ring
JB:JB
Macaulay2:Macaulay2
Maple:diffalg
Maple:Groebner
Maple:Involutive
MAS:masring
Mathematica:Mathematica
OpenXM:Risa-asir
Singular:Singular
Singular:Singular
OpenXM:Risa-asir
Mathematica:Mathematica
MAS:masring
Maple:Involutive
Maple:Groebner
Maple:diffalg
Macaulay2:Macaulay2
JB:JB
JAS:edu.jas.ring
GINV:GINV
DoCon:Groebner basis
Bergman:Bergman, commutative mode
Bergman:Bergman, non-commutative (graded) mode
GAP:GBNP
JAS:edu.jas.ring
Macaulay2:D-modules
Macaulay2:x
Maple:Groebner
Maple:JanetOre
MAS:masnc
Mathematica:NCAlgebra
OpenXM:kan-sm1
Singular:Plural
Singular:Plural
OpenXM:kan-sm1
Mathematica:NCAlgebra
MAS:masnc
Maple:JanetOre
Maple:Groebner
Macaulay2:x
Macaulay2:D-modules
JAS:edu.jas.ring
GAP:GBNP
Bergman:Bergman, non-commutative (graded) mode