D.2.11.1 changechar | | make a copy of basering [ring r] with new char c |
D.2.11.2 changeord | | make a copy of basering [ring r] with new ord o |
D.2.11.3 changevar | | make a copy of basering [ring r] with new vars v |
D.2.11.4 defring | | define a ring R in specified char c, n vars v, ord o |
D.2.11.5 defrings | | define ring Sn in n vars, char 32003 [p], ord ds |
D.2.11.6 defringp | | define ring Pn in n vars, char 32003 [p], ord dp |
D.2.11.7 extendring | | extend given ring by n vars v, ord o and name it R |
D.2.11.8 fetchall | | fetch all objects of ring R to basering |
D.2.11.9 imapall | | imap all objects of ring R to basering |
D.2.11.10 mapall | | map all objects of ring R via ideal i to basering |
D.2.11.11 ord_test | | test wether ordering of R is global, local or mixed |
D.2.11.12 ringtensor | | create ring, tensor product of rings s,t,... |
D.2.11.13 ringweights | | intvec of weights of ring variables of ring r |
D.2.11.14 preimageLoc | | computes preimage for non-global orderings |
D.2.11.15 rootofUnity | | the minimal polynomial for the n-th primitive root of unity (parameters in square brackets [] are optional) |
D.2.11.16 optionIsSet | | check if as a string given option is set or not. hasFieldCoefficient check if the coefficient ring is considered a field hasGFCoefficient check if the coefficient ring is GF(p,k) hasZpCoefficient check if the coefficient ring is ZZ/p hasZp_aCoefficient check if the coefficient ring is an elag. ext. of ZZ/p hasQQCoefficient check if the coefficient ring is QQ |
D.2.11.17 hasNumericCoeffs | | check for use of floating point numbers |
D.2.11.18 hasCommutativeVars | | non-commutive or commnuative polynomial ring |
D.2.11.19 hasGlobalOrdering | | global versus mixed/local monomial ordering |
D.2.11.20 hasMixedOrdering | | mixed versus global/local ordering |
D.2.11.21 hasAlgExtensionCoefficient | | coefficients are an algebraic extension |
D.2.11.22 hasTransExtensionCoefficient | | coefficients are rational functions |
D.2.11.23 isQuotientRing | | ring is a qotient ring |
D.2.11.24 isSubModule | | check if I is in J as submodule |
D.2.11.25 changeordTo | | change the ordering of a ring to a simple one |
D.2.11.26 addvarsTo | | add variables to a ring |
D.2.11.27 addNvarsTo | | add N variables to a ring |