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Valuations : Index
A
B
C
D
E
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(symbol ==, InfiniteNumber, OrderedQQVector)
-- The class of all vectors of an ordered module $\QQ^n$
(symbol ==, OrderedQQVector, InfiniteNumber)
-- The class of all vectors of an ordered module $\QQ^n$
coneToValuation
-- Convert a prime cone of a tropical ideal to a (quasi-)valuation
coneToValuation(Matrix,Subring)
-- Convert a prime cone of a tropical ideal to a (quasi-)valuation
coneToValuation(Matrix,Subring,Ring)
-- Convert a prime cone of a tropical ideal to a (quasi-)valuation
InfiniteNumber == OrderedQQVector
-- The class of all vectors of an ordered module $\QQ^n$
leadTermValuation
-- The valuation defined by leading terms
leadTermValuation(PolynomialRing)
-- The valuation defined by leading terms
localRingValuation
-- The valuation defined by a local ring.
localRingValuation(LocalRing)
-- The valuation defined by a local ring.
lowestTermValuation
-- The valuation defined by lowest terms
lowestTermValuation(PolynomialRing)
-- The valuation defined by lowest terms
Ordered modules
-- Overview of the ordered module $\QQ^n$
OrderedQQn
-- The class of all ordered modules $\QQ^n$
orderedQQn
-- Construct an ordered module $\QQ^n$
OrderedQQn == OrderedQQn
-- Overview of the ordered module $\QQ^n$
orderedQQn(PolynomialRing)
-- Construct an ordered module $\QQ^n$
orderedQQn(ZZ,List)
-- Construct an ordered module $\QQ^n$
OrderedQQVector
-- The class of all vectors of an ordered module $\QQ^n$
OrderedQQVector == InfiniteNumber
-- The class of all vectors of an ordered module $\QQ^n$
OrderedQQVector ? OrderedQQVector
-- The class of all vectors of an ordered module $\QQ^n$
padicValuation
-- The p-adic valuation
padicValuation(ZZ)
-- The p-adic valuation
primeConesOfIdeal
-- Finds the prime cones of the tropicalization of a given subalgebra or ideal.
primeConesOfIdeal(Ideal)
-- Finds the prime cones of the tropicalization of a given subalgebra or ideal.
primeConesOfSubalgebra
-- Finds the prime cones of the tropicalization of a given subalgebra or ideal.
primeConesOfSubalgebra(Subring)
-- Finds the prime cones of the tropicalization of a given subalgebra or ideal.
trivialValuation
-- The trivial valuation
valM
-- Construct a valuation from a (quasi-)valuation
valM(Ring,Valuation)
-- Construct a valuation from a (quasi-)valuation
Valuation
-- The type of all valuations
valuation
-- User-defined valuation object
valuation(Function)
-- User-defined valuation object
valuation(Function,LocalRing,LocalRing)
-- User-defined valuation object
valuation(Function,LocalRing,OrderedQQn)
-- User-defined valuation object
valuation(Function,LocalRing,Ring)
-- User-defined valuation object
valuation(Function,LocalRing,RingOfInvariants)
-- User-defined valuation object
valuation(Function,LocalRing,Subring)
-- User-defined valuation object
valuation(Function,Ring,LocalRing)
-- User-defined valuation object
valuation(Function,Ring,OrderedQQn)
-- User-defined valuation object
valuation(Function,Ring,Ring)
-- User-defined valuation object
valuation(Function,Ring,RingOfInvariants)
-- User-defined valuation object
valuation(Function,Ring,Subring)
-- User-defined valuation object
valuation(Function,RingOfInvariants,LocalRing)
-- User-defined valuation object
valuation(Function,RingOfInvariants,OrderedQQn)
-- User-defined valuation object
valuation(Function,RingOfInvariants,Ring)
-- User-defined valuation object
valuation(Function,RingOfInvariants,RingOfInvariants)
-- User-defined valuation object
valuation(Function,RingOfInvariants,Subring)
-- User-defined valuation object
valuation(Function,Subring,LocalRing)
-- User-defined valuation object
valuation(Function,Subring,OrderedQQn)
-- User-defined valuation object
valuation(Function,Subring,Ring)
-- User-defined valuation object
valuation(Function,Subring,RingOfInvariants)
-- User-defined valuation object
valuation(Function,Subring,Subring)
-- User-defined valuation object
Valuations
-- A package for constructing and using valuations.