- In mathematics, a
semifield is an
algebraic structure with two
binary operations,
addition and multiplication,
which is
similar to a field, but with some...
- The
semifield of
fractions of a
commutative semiring in
which every nonzero element is (multiplicatively)
cancellative is the
smallest semifield in which...
- A semi-field
study or
semifield study is a type of
scientific investigation which is
intermediate between laboratory study and open
field research. This...
- functions, i.e. the set of
concave functions on a
given domain form a
semifield. Near a
strict local maximum in the
interior of the
domain of a function...
-
structure R be a
field or a ring to the
requirement that R only be a
semifield or rig; the
resulting polynomial structure/extension R[X] is a polynomial...
- and form a semiring,
called the
probability semiring; this is in fact a
semifield. The
logarithm then
takes multiplication to
addition (log multiplication)...
- Below, more
conditional properties are discussed. Any
field is also a
semifield,
which in turn is a
semiring in
which also
multiplicative inverses exist...
-
Finite field • Non-****ociative ring • Lie ring •
Jordan ring •
Semiring •
Semifield Commutative algebra Commutative rings •
Integral domain •
Integrally closed...
-
algebraic structures related to
fields such as quasifields, near-fields and
semifields.
There are also
proper classes with
field structure,
which are sometimes...
- from the
California Institute of Technology, with a
thesis titled Finite Semifields and
Projective Planes. In 1963,
after receiving his PhD,
Knuth joined...
