Functions available in AbstractAlgebra
There are several choices here. You can choose to view an abbreviated listing of available functions (which is below on this page), the complete list of functions, or the complete list of usage statements.
Partial listing of functions
| AbelianQ | Adjoin | Alternating | Annihilator |
| Associates | AssociativeQ | Automorphism | BooleanRing |
| CartesianProduct | CayleyTable | Centralizer | Characteristic |
| ClosedQ | Closure | Commutators | CommutatorSubgroup |
| ConjugacyClass | Cosets | Cyclic | CyclicGenerators |
| CyclicQ | DiagonalMatrices | Dihedral | DirectProduct |
| DisjointCyclesQ | ElementQ | Elements | ElementToPower |
| EvenPermutationQ | ExtensionDegree | FieldQ | FormGroupoid |
| FormGroupoidByTable | FormGroupoidFromCycles | FormMorphoid | FormRingoid |
| FormRingoidByTable | FromCycles | GaussianIntegerQ | GeneralLinear |
| GenerateGroupoid | GF | GroupCenter | GroupExponent |
| GroupIdentity | HasIdentityQ | HasInversesQ | HasZeroQ |
| HermitianQ | HomomorphismQ | IdealQ | Idempotents |
| InducedIsomorphism | InjectiveQ | InnerAutomorphism | InnerAutomorphismGroup |
| Inverses | IsomorphismQ | Kernel | Klein4 |
| LeftIdentity | LeftInverse | ModpIrreducibilityQ | MorphismQ |
| Morphoid | MorphoidComposition | MultiplicativeGroupoid | MultiplyCycles |
| MultiplyPermutations | NegationOf | NilpotentQ | Nilpotents |
| NonAssociatingTriples | NonCommutingPairs | Normalizer | NormalQ |
| Orbit | OrderOfElement | Orders | Parity |
| PermutationInverse | Poly | PolynomialEvaluation | PolynomialsUpToDegreeN |
| PrimeIdealQ | PrimitivePolynomials | PrincipalIdeal | ProperSubsetQ |
| QuaternionGroup | QuotientGroup | QuotientRing | RandomElement |
| RandomElements | RandomMatrix | RandomPermutation | RightCoset |
| RightCosets | RootsOfUnity | SemiGroupQ | SkewSymmetricQ |
| SpecialLinear | Stabilizer | SubgroupGenerated | SubgroupQ |
| SubringQ | SubsetQ | SurjectiveQ | Symmetric |
| TableOfPowers | ToCycles | ToOrdinaryPolynomial | ToTranspositions |
| TwistedZ | U | UnitQ | Units |
| Visual2 | VisualizeMorphoid | WithUnityQ | Z |
| ZdNorm | ZeroDivisorQ | ZeroDivisors | Zeros |
In addition, the following standard functions (including others) have been extended for working with matrices and polynomials over general rings:
Det, Dot, MatrixPower, PolynomialDivision, PolynomialGCD, PolynomialLCM, PolynomialQuotient, PolynomialRemainder, Solve
Prepared by Al Hibbard. Most recent update: 6/16/2006. This page has been viewed 314 times since June 16, 2006. The entire EAAM web site has had 669,524 hits since July 23, 2002.
