- In
abstract algebra, a
semiring is an
algebraic structure.
Semirings are a
generalization of rings,
dropping the
requirement that each
element must have...
-
tropical semiring.
Conventions differ between authors and subfields: some use the min convention, some use the max convention. The two
tropical semirings are...
- One can also
consider modules over a
semiring.
Modules over
rings are
abelian groups, but
modules over
semirings are only
commutative monoids. Most applications...
- (2009), p. 8
Artin (2018), Algebra,
Pearson Droste, M.; Kuich, W (2009), "
Semirings and
Formal Power Series",
Handbook of
Weighted Automata,
Monographs in...
- in S. Near-
semirings are a
common abstraction of
semirings and near-rings [Golan, 1999; Pilz, 1983]. The
standard examples of near-
semirings are typically...
- quasiregular.
Conway semirings are also quasiregular; the two
Conway axioms are
actually independent, i.e.
there are
semirings satisfying only the product-star...
-
geometric series of
elements of
abstract algebraic fields, rings, and
semirings. The
geometric series is an
infinite series derived from a
special type...
- In mathematics, in the
field of
tropical analysis, the log
semiring is the
semiring structure on the
logarithmic scale,
obtained by
considering the extended...
-
analysis is the
study of
idempotent semirings, such as the
tropical semiring. The lack of an
additive inverse in the
semiring is
compensated somewhat by the...
- are a
particular case of
closed semirings, also
called quasi-regular
semirings or
Lehmann semirings,
which are
semirings in
which every element has at least...
