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Week 3

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Problem /
AFactorRingOfTheGaussianIntegers
AMatrixFactorRing
AnAscendingChainOfIdealsInTheIntegers
AutomorphismsOnSeveralGraphsWith4Vertices
CharacterizingWhenFactorRingsAreFields
ComposingPermutationsUsingDisjointCycleNotation
ComputingPowersModnConjecture
CreatingCayleyGraphsOfSimpleShiftPermutations
DisjointCycleNotationPracticeWithAutomorphismsOfASquare
DivisionAlgorithmProof
FactorRingsOfZAndZX
FindingIdempotentAndNilpotentElementsInAMatrixRing
IdealsGiveUsFactorRings
ObtainingANewIdealByAddingOneElement
PermutationScoringOnS3
RemaindersEqualIffDifferenceIsAMultiple
RingElementsAndIntegerMultiplication
RModAIsAFieldIffAIsMaximal
RModAIsAnIntegralDomainIfAndOnlyIfAIsPrime
SimpleShiftRepetitionGame
TheGameOfPermutationScoringOnASquare
TheSpanOfASetOfPermutationsIsClosed
TheSpanOfASimpleShift
Solution /
AutomorphismsOnSeveralGraphsWith4VerticesJosh
ConnectingMultiplesAndSpansOfIntegersMikai
MatrixEncryptionMod5Christian
MatrixEncryptionMod5Levi
ModularArithmeticPropertiesShaughn
PowersWithModularArithmeticJoey
TheGameOfPermutationScoringOnASquareTyler
TheSpanOfASimpleShiftJason
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