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Boolean algebra
noun
(algebra)
An
algebraic
structure
(𝛴,∨,∧,∼,0,1)
where
∨
and
∧
are
idempotent
binary
operators,
∼
is
a
unary
involutory
operator
(called
"complement"),
and
0
and
1
are
nullary
operators
(i.e.,
constants),
such
that
(𝛴,∨,0)
is
a
commutative
monoid,
(𝛴,∧,1)
is
a
commutative
monoid,
∧
and
∨
distribute
with
respect
to
each
other,
and
such
that
combining
two
complementary
elements
through
one
binary
operator
yields
the
identity
of
the
other
binary
operator.
(See
Boolean
algebra
(structure)#Axiomatics.)
algebraic integer
noun
(algebra,
number
theory)
A
real
or
complex
number
(more
generally,
an
element
of
a
number
field)
which
is
a
root
of
a
monic
polynomial
whose
coefficients
are
integers;
equivalently,
an
algebraic
number
whose
minimal
polynomial
(lowest-degree
polynomial
of
which
it
is
a
root
and
whose
leading
coefficient
is
1)
has
integer
coefficients.
algebraic function
noun
algebraic geometry
noun
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