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Excalidraw Data
Text Elements
Monoid
Semigroup
Group
Field
-
identity element
-
inverses
Abelian Group
-
commutativity
-
second operation (multiplication)
-
commutative multiplication
Division Ring (Skew Field)
Commutative Ring
-
commutative multiplication
-
invertibility (non-zero)
Ring
- multiplicative identity
Magma
Set
-
binary operation
-
associativity
Rng (without Unity)
Semiring
-
additive inverses
-
associative& distributive
-
second operation (multiplication)
-
associative& distributive
-
invertibility (non-zero)
Integral Domain
-
no zero-divisors
-
invertibility (non-zero)
Commutative Monoid
-
commutativity
-
the absorption property of zero