Unit 2: Algebraic Structures

Topics

• Rings and Fields: definition and standard results →
• Algebraic Structures: Definition →
• Properties →
• types: Semi Groups →
• Monoid →
• Groups →
• Abelian group →
• properties of groups →
• Subgroup →
• cyclic groups →
• Cosets →
• factor group →
• Permutation groups →
• Normal subgroup →
• Homomorphism and isomorphism of Groups →
• example and standard results →