- In
abstract algebra, a
semiring is an
algebraic structure.
Semirings are a
generalization of rings,
dropping the
requirement that each
element must have...
- One can also
consider modules over a
semiring.
Modules over
rings are
abelian groups, but
modules over
semirings are only
commutative monoids. Most applications...
- In
idempotent analysis, the
tropical semiring is a
semiring of
extended real
numbers with the
operations of
minimum (or maximum) and
addition replacing...
- 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...
- 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...
-
element of a
semiring is
quasiregular then the
semiring is
called a quasi-regular
semiring,
closed semiring, or
occasionally a
Lehmann semiring (the latter...
- In mathematics, in the
field of
tropical analysis, the log
semiring is the
semiring structure on the
logarithmic scale,
obtained by
considering the extended...
-
Magnus ring over R.
Given an
alphabet Σ {\displaystyle \Sigma } and a
semiring S {\displaystyle S} . The
formal power series over S {\displaystyle S}...
-
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...
-
monoid is a
commutative monoid with monus, the
semiring is
called a
semiring with monus, or m-
semiring. If M is an
ideal in a
Boolean algebra, then M...
