| 4.8.14 Commands and Functions for Rings |
| AffHilbert | the affine Hilbert function |
| AffHilbertFn | the affine Hilbert function |
| AffHilbertSeries | the affine Hilbert-Poincare series |
| AffPoincare | the affine Hilbert-Poincare series |
| Characteristic | the characteristic of a ring |
| Clear | clear the working memory or a ring-bound memory |
| CurrentRing | the current ring |
| Deg | the degree of a polynomial or vector |
| Delete | delete variables from the working memory |
| Destroy | delete rings |
| Dim | the dimension of a ring or quotient object |
| Hilbert | the Hilbert-Poincare' function |
| HilbertFn | the Hilbert function |
| HilbertPoly | the Hilbert polynomial |
| HilbertSeries | the Hilbert-Poincare series |
| HilbertSeriesMultiDeg | the Hilbert-Poincare series wrt a multigrading |
| HilbertSeriesShifts | the Hilbert-Poincare series |
| HVector | the h-vector of a module or quotient object |
| Image | apply ring homomorphism |
| Indet | individual indeterminates |
| IndetInd | the index of an indeterminate |
| IndetIndex | index of an indeterminate |
| IndetName | the name of an indeterminate |
| Indets | list of current indeterminates |
| MDeg | multi-degree of an polynomial |
| Multiplicity | the multiplicity (degree) of a ring or quotient object |
| NumIndets | number of indeterminates |
| Ord | matrix defining a term-ordering |
| Poincare | the Hilbert-Poincare series |
| PoincareMultiDeg | the Hilbert-Poincare series wrt a multigrading |
| PoincareShifts | the Hilbert-Poincare series |
| QZP | change field for polynomials and ideals |
| Ring | returns the ring with a given name |
| RingEnv | name of the current ring |
| RingEnvs | names of all defined rings |
| RingEnvSet | set of names of the ring environments |
| RMap | define ring homomorphism |
| TypeOfCoeffs | type of the coefficients of the current ring |
| UnivariateIndetIndex | the index of the indeterminate of a univariate polynomial |
| Use | command for making a ring active |
| Using | perform commands in non-active ring |
| WeightsList | first row of the weights matrix |
| WeightsMatrix | matrix of generalized weights for indeterminates |
| ZPQ | change field for polynomials and ideals |