Abstract algebra MOC
Abstract algebra begins with the study of algebraic structures on sets: Sets endowed with some algebraic operations.
Group like
graph TD; Unital[Unital magma] Associative[Associative quasigroup] Magma-->|divisibility|Quasigroup Magma-->|identity|Unital Magma-->|associativity|Semigroup Quasigroup-->|associativity|Associative Semigroup-->|divisibility|Associative Quasigroup-->|identity|Loop Unital-->|invertibility|Loop Semigroup-->|identity|Monoid Unital-->|associativity|Monoid Loop-->|associativity|Group Associative-->|identity|Group Monoid-->|invertibility|Group class Magma internal-link; class Quasigroup internal-link; class Semigroup internal-link; class Monoid internal-link; class Group internal-link;