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algebraická

Algebraická is an adjective in Czech meaning “algebraic.” It is the feminine singular form of the base adjective algebraický and is used to describe concepts that pertain to or arise from algebra, the branch of mathematics concerned with symbols and the rules for manipulating them. In mathematical Czech, algebraická is attached to nouns to form terms such as algebraická čísla, algebraická rovnice, algebraická funkce, algebraická struktura, and algebraická geometrie.

The term appears in a range of standard phrases. Algebraická čísla (algebraic numbers) are numbers that are

Linguistic note: algebraická is formed from algebra and the suffixes used in Czech to create adjectives, and

roots
of
non-zero
polynomials
with
rational
coefficients.
The
set
of
algebraická
čísla
is
countable,
and
it
contrasts
with
transcendental
numbers,
which
are
not
roots
of
any
such
polynomial.
Algebraická
rovnice
(algebraic
or
polynomial
equations)
are
equations
in
which
the
unknowns
appear
as
roots
of
polynomials
with
coefficients
in
a
given
field.
Algebraická
funkce
(algebraic
function)
refers
to
a
function
that
satisfies
a
polynomial
equation
whose
coefficients
come
from
a
fixed
field.
Algebraická
struktura
(algebraic
structure)
encompasses
algebraic
systems
such
as
groups,
rings,
and
fields.
The
term
also
appears
in
algebraická
geometrie
(algebraic
geometry),
a
major
area
of
modern
mathematics
studying
geometric
properties
of
solutions
to
polynomial
equations.
it
mirrors
the
English
term
“algebraic”
in
mathematical
usage.