return the name of the Ore algebra - Maple Help

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Home : Support : Online Help : Mathematics : Algebra : Skew Polynomials : OreTools : OreTools/Properties/GetRingName

OreTools[Properties][GetRingName] - return the name of the Ore algebra

OreTools[Properties][GetVariable] - return the name of the independent variable on which the Ore polynomial ring acts

OreTools[Properties][GetSigma] - return sigma

OreTools[Properties][GetSigmaInverse] - return sigma^(-1)

OreTools[Properties][Getdelta] - return delta

OreTools[Properties][GetTheta1] - return theta(1)

Calling Sequence

GetRingName(A)

GetVariable(A)

GetSigma(A)

GetSigmaInverse(A)

Getdelta(A)

GetTheta1(A)

Parameters

A

-

Ore algebra; to define an Ore algebra, use the SetOreRing function.

Description

• 

The GetRingName(A) calling sequence returns the name of the Ore algebra A.

• 

The GetVariable(A) calling sequence returns the independent variable on which the Ore polynomial ring A acts.

• 

The GetSigma(A) calling sequence returns sigma for the Ore algebra A.

• 

The GetSigmaInverse(A) calling sequence returns sigma^(-1) for the Ore algebra A.

• 

The Getdelta(A) calling sequence returns delta for the Ore algebra A.

• 

The GetTheta1(A) calling sequence returns theta(1) for the Ore algebra A.

• 

For a brief review of pseudo-linear algebra (also known as Ore algebra), see OreAlgebra.

Examples

withOreTools:

withOreTools[Properties]:

Define the shift algebra.

A:=SetOreRingn,'shift'

A:=UnivariateOreRingn,shift

(1)

Determine the properties of the algebra.

GetRingNameA

shift

(2)

GetVariableA

n

(3)

GetSigmaAsn,n

sn+1

(4)

GetSigmaInverseAsn,n

sn1

(5)

GetdeltaAsn,n

0

(6)

GetTheta1A

1

(7)

See Also

OreTools, OreTools/OreAlgebra, OreTools[Properties], OreTools[SetOreRing]


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