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Group Definition (expanded) - Abstract Algebra
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Abstract Algebra
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- 1 What is Abstract Algebra? (Modern Algebra)
- 2 Group Definition (expanded) - Abstract Algebra
- 3 Abstract Algebra: The definition of a Group
- 4 Abstract Algebra: Motivation for the definition of a group
- 5 Abstract Algebra: The definition of a Subgroup
- 6 Group Multiplication Tables | Cayley Tables (Abstract Algebra)
- 7 Cosets and Lagrange’s Theorem - The Size of Subgroups (Abstract Algebra)
- 8 Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra
- 9 Cyclic Groups (Abstract Algebra)
- 10 Abstract Algebra: Group or Not Group? (Integer edition)
- 11 Group Homomorphisms - Abstract Algebra
- 12 Homomorphisms (Abstract Algebra)
- 13 Isomorphisms (Abstract Algebra)
- 14 The Kernel of a Group Homomorphism – Abstract Algebra
- 15 The Order of an Element (Abstract Algebra)
- 16 Symmetric Groups (Abstract Algebra)
- 17 Cycle Notation of Permutations - Abstract Algebra
- 18 Dihedral Group (Abstract Algebra)
- 19 Symmetry Groups of Triangles (Abstract Algebra)
- 20 Matrix Groups (Abstract Algebra)
- 21 Direct Products of Groups (Abstract Algebra)
- 22 Simple Groups - Abstract Algebra
- 23 Abstract Algebra: The definition of a Ring
- 24 Ring Definition (expanded) - Abstract Algebra
- 25 Ring Examples (Abstract Algebra)
- 26 Units in a Ring (Abstract Algebra)
- 27 Integral Domains (Abstract Algebra)
- 28 Ideals in Ring Theory (Abstract Algebra)
- 29 Field Definition (expanded) - Abstract Algebra
- 30 Abstract Algebra: The definition of a Field
- 31 Field Examples - Infinite Fields (Abstract Algebra)
- 32 What is a Vector Space? (Abstract Algebra)
- 33 What is a Module? (Abstract Algebra)
