Interface MultiplicativeAbelianSemiGroupTheory<E extends MultiplicativeSemiGroupElement<E>>
- All Superinterfaces:
AlgebraicStructureTheory<E>,BasicObjectTheory<E>,ElementTheory<E>,MagmaTheory<E>,MultiplicativeSemiGroupTheory<E>
- All Known Subinterfaces:
CompleteFieldTheory<E>,CompleteScalarFieldTheory<E>,DivisibleGroupTheory<E>,FieldTheory<E>,MultiplicativeAbelianGroupTheory<E>,ScalarFieldTheory<E>
public interface MultiplicativeAbelianSemiGroupTheory<E extends MultiplicativeSemiGroupElement<E>>
extends MultiplicativeSemiGroupTheory<E>
- Since:
- 0.4
- Author:
- Michiel Meeuwissen
-
Field Summary
Fields inherited from interface org.meeuw.theories.abstractalgebra.AlgebraicStructureTheory
COUNTS, ERROR_COUNTS, ERROR_UCOUNTS, STRUCTURE, UCOUNTSFields inherited from interface org.meeuw.theories.BasicObjectTheory
DATAPOINTS, DATAPOINTS_OR_NULL, EQUAL_DATAPOINTS, RANDOMSFields inherited from interface org.meeuw.theories.abstractalgebra.ElementTheory
ELEMENTS -
Method Summary
Modifier and TypeMethodDescriptiondefault voidmultiplicativeCommutativity(E v1, E v2) default voidMethods inherited from interface org.meeuw.theories.abstractalgebra.AlgebraicStructureTheory
algebraicBinaryOperators, algebraicIntOperations, algebraicUnaryOperators, cardinalityAndStreaming, cast, castDirectly, cayleyTables, elementClass, eqMethod, examples, functions, getComparisonOperators, nextRandom, singleton, staticOperators, staticUnaryOperators, structure, structureSameInstance, toStringForStructure, uncertainMethods inherited from interface org.meeuw.theories.BasicObjectTheory
datapointsOrNull, equalDatapoints, equals, equalsIsConsistent, equalsIsReflexive, equalsIsSymmetric, equalsIsTransitive, equalsReturnFalseOnNull, equalsReturnFalseOnOtherObject, hashCodeIsConsistentWithEquals, hashCodeIsSelfConsistent, log, randoms, toStringMethods inherited from interface org.meeuw.theories.abstractalgebra.ElementTheory
datapoints, elements, getLogger, setupForAllMethods inherited from interface org.meeuw.theories.abstractalgebra.MagmaTheory
magmaOperators, operatorAndCommutativityMethods inherited from interface org.meeuw.theories.abstractalgebra.MultiplicativeSemiGroupTheory
multiplicationCommutativity, multiplicativeAssociativity, multiplicativeSemiGroupOperators, pow0, pow1, pow2, pow3, powNegative1, powNegative2, powNegative3, sqr
-
Method Details
-
multiplicativeCommutativity
-
multiplicativeCommutativityProperty
@Property default void multiplicativeCommutativityProperty(@ForAll("structure") MultiplicativeSemiGroup<E> group)
-