## Introduction to abstract algebra |

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### Contents

Sets | 1 |

Set Membership and Set Inclusion | 2 |

Union and Intersection of Sets | 3 |

Copyright | |

70 other sections not shown

### Common terms and phrases

1-1 mapping Abelian addition and multiplication addition in N additive identity additive inverse algebra associative law automorphism binary operations cancellation law Cauchy sequence coefficients Commutative law commutative ring complex numbers consider corollary cosets cyclic group defined Definition 12 divisors element of G equation equinumerous equivalence relation Exercises exists factors finite number group G Hence homomorphism implies induction integral domain irreducible isomorphic law of addition law of multiplication Lemma Let G linear linearly independent mapping of Example multiplicative identity multiplicative inverse natural numbers nonzero normal subgroup notation null sequence ordered pairs partitioning classes permutation polynomials positive integer positive rational numbers prime problem properties real numbers residue classes solution student subgroup of G subset Suppose symbols Theorem 11 unique vector space write zero