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Topic 5: Algebraic Structure - Coggle Diagram
Topic 5: Algebraic Structure
Algebraic Structures
consisting of a set of objects and operations on those objects.
formal mathematical system
set S and operation * denoted as:
or
Closure
Example: S={0, 1}
S is closed under Multiplication
S is not closed under Addition
Commutative Semigroup
Commutative
Associative
Monoid
Associative
Identity element
Group
Associative
has an Identity element
has inverse for each a ∈ G
Abelian Group
Commutative Group
Semigroup
Associative
