oreExtension -- Creates an Ore extension of a noncommutative ring

Synopsis

• Usage:

  oreExtension(A,sigma,delta,x) or oreExtension(A,sigma,x)

• Inputs:
  • A, an instance of the type NCRing,
  • sigma, an instance of the type NCRingMap,
  • delta, an instance of the type NCRingMap,
  • x, an instance of the type NCRingElement, or a Symbol
• Optional inputs:
  • Degree (missing documentation) => ..., default value 1,
• Outputs:
  • an instance of the type NCQuotientRing,

Description

i1 : B = skewPolynomialRing(QQ,(-1)_QQ,{x,y,z,w})
--Calling Bergman for NCGB calculation.
Complete!

o1 = B

o1 : NCQuotientRing

i2 : sigma = ncMap(B,B,{y,z,w,x})

o2 = NCRingMap B <--- B

o2 : NCRingMap

i3 : C = oreExtension(B,sigma,a)
--Calling Bergman for NCGB calculation.
Complete!

o3 = C

o3 : NCQuotientRing

See also

• oreIdeal -- Creates the defining ideal of an Ore extension of a noncommutative ring