10 Abstract Algebra

Abstract algebra is about structures in abstraction, their properties, and the relationships between structures.

In the context of physics, abstract algebra becomes useful for the study of symmetry, which is essential for deriving fundamental laws of physics—laws that are independent of any preferred system of measurement.

• Abelian Group
• Antisymmetry
• Binary Operations
• Field
• Group
• Group Theory
• Homomorphism
• Integral Domain
• Permutational Antisymmetry
• Ring
• Symmetry