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Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Covers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.
Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
