mathematical group
group
monoid
disjoint union
monad
nonempty
overlap
groupoid
partition
complement
disjoint set
absolute complement
connection
parity
non-empty
intersect
symmetric difference
transitive set
topology
equivalence class
T₁
hyperconnection
Grothendieck universe
supramenable
semiregular
unit
trivial group
Cartesian product
product
cofinite topology
intersection
Cantor-Bendixson theorem
computable
quotient set
pseudointersection
group object
normal space
axiom of regularity
trivial topology
π-system
disjoint
direct sum
subset
superprojective
metaset
injection
normalizer
element
Alexandrov topology
empty function
algebraic structure
neighborhood
superset
right total
member
multinumber
semigroup
hemitropic
unital
axiom of pairing
ring
maximum
uncountable set
biorthonormal
dismantlable
wellpowered
generic element
Kolmogorov
linear algebra
ordered integral domain
urelement
Matiyasevich's theorem
separable
Hintikka set
quintuplicate
automorphism group
zero
multiplicative identity
nonelement
permutation group
transitive
disparate
ring homomorphism
presemifield
prime number
minimum
system
scheme
transversal
trichotomous
coinitial
finite
three
connex
proper subset
symmetry group

English words for 'a set that is closed, associative, has an identity element and every element has an inverse'

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