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 Flashcards Matching Hangman Crossword Type In Quiz Test StudyStack Study Table Bug Match Hungry Bug Unscramble Chopped Targets

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# Precalc Craziness 1

### Some crazy equation sorts and such and such

QuestionAnswer
(N,+) Abelian Monoid
(N, x) Abelian Monoid
(Z, +) Abelian Group
(Z, x) Abelian Monoid
(Q, +) Abelian Group
(Q^x, x) Abelian Group
(Q^q, o) Monoid
(Q^q, +) Abelian Group
(Q^q, x) Abelian Monoid
(P, o) Monoid
(P, +) Abelian Group
(P, x) Abelian Monoid
(A^o, o) Group
(A, +) Abelian Group
(A, x) Nothing
What is necessary to be a Monoid? Closure, Associativity and Identity
What is necessary to be a Group? Closure, Associativity, Identity and Inverses
What is necessary to be Abelian? Commutative Property
What does superscript "o" stand for in (A^o, o)? It means you have to take out the constant functions or else the functions won't have inverses (because no matter what your input is in f(x)=5, the answer will be 5, not the ID)
What does superscript "x" stand for in (Q^x, x)? It means you have to take zero out of the set of rational numbers, because it doesn't have an inverse.
Created by: grotle_grovyle