- 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...
- In mathematics, in the
field of
tropical analysis, the log
semiring is the
semiring structure on the
logarithmic scale,
obtained by
considering the extended...
- 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...
- 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...
- 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...
- quasiregular.
Conway semirings are also quasiregular; the two
Conway axioms are
actually independent, i.e.
there are
semirings satisfying only the product-star...
- "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...
-
Distributivity is most
commonly found in
semirings,
notably the
particular cases of
rings and
distributive lattices. A
semiring has two
binary operations, commonly...
