-
semiring called the
trivial semiring. This
triviality can be
characterized via 0 = 1 {\displaystyle 0=1} and so when
speaking of
nontrivial semirings...
- In
idempotent analysis, the
tropical semiring is a
semiring of
extended real
numbers with the
operations of
minimum (or maximum) and
addition replacing...
- In mathematics, in the
field of
tropical analysis, the log
semiring is the
semiring structure on the
logarithmic scale,
obtained by
considering the extended...
- only a
semiring for Mn(R) to be defined. In this case, Mn(R) is a
semiring,
called the
matrix semiring. Similarly, if R is a
commutative semiring, then...
-
modules are
still possible. In particular, for any
semiring S, the
matrices over S form a
semiring over
which the
tuples of
elements from S are a module...
- mathematics, a near-
semiring, also
called a seminearring, is an
algebraic structure more
general than a near-ring or a
semiring. Near-
semirings arise naturally...
- "Example of a
naturally ordered semiring which is not an m-
semiring".
Mathematics Stack Exchange.
Retrieved 2016-10-14.
Semirings for breakfast,
slide 17 Vereschchagin...
- generally, all
complete semirings are quasiregular. The term
closed semiring is
actually used by some
authors to mean
complete semiring rather than just quasiregular...
-
Magnus ring over R.
Given an
alphabet Σ {\displaystyle \Sigma } and a
semiring S {\displaystyle S} . The
formal power series over S {\displaystyle S}...
- The
natural numbers (including 0) form an
algebraic structure known as a
semiring (which has all of the
axioms of a ring
excluding that of an
additive inverse)...
