-
Algebra is the
branch of
mathematics that
studies certain abstract systems,
known as
algebraic structures, and the mani****tion of
expressions within those...
- is
algebraically closed; in particular, the
field of
rational numbers is not
algebraically closed. By contrast, the
fundamental theorem of
algebra states...
-
branches like
algebraic number theory and
algebraic topology. The word
algebra itself has
several meanings.
Algebraic may also
refer to:
Algebraic data type...
-
Algebraic notation is the
standard method for
recording and
describing the
moves in a game of chess. It is
based on a
system of
coordinates to uniquely...
-
algebraically independent over the
rational numbers. However, the set { π , 2 π + 1 } {\displaystyle \{{\sqrt {\pi }},2\pi +1\}} is not
algebraically...
- that a
module is
algebraically compact if and only if it is pure-injective. All
modules with
finitely many
elements are
algebraically compact.
Every vector...
- mathematics, and more
specifically in
abstract algebra, a *-
algebra (or
involutive algebra; read as "star-
algebra") is a
mathematical structure consisting of...
-
maximal number of
elements in F that are
algebraically independent over the
prime field. Two
algebraically closed fields E and F are
isomorphic precisely...
-
closure of K. The
algebraic closure of K is also the
smallest algebraically closed field containing K,
because if M is any
algebraically closed field containing...
- be not
algebraically closed.
classical algebraic varieties are the
quasiprojective integral separated finite type
schemes over an
algebraically closed...
