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2.11.4 Commands and Functions returning RINGELEM
abs absolute value of a number
apply apply homomorphism
binomial binomial coefficient
CharPoly characteristic polynomial of a matrix
ClearDenom clear common denominator of a polynomial with rational coeffs
CoeffEmbeddingHom returns the coefficient embedding homomorphism of a polynomial ring
CoeffListWRT list of coefficients of a polynomial wrt and indet
CoeffOfTerm coefficient of a term of a polynomial
content content of a polynomial
ContentWRT content of a polynomial wrt and indet or a list of indets
cyclotomic n-th cyclotomic polynomial
den denominator
DensePoly the sum of all power-products of a given degree
deriv the derivative of a polynomial or rational function
det the determinant of a matrix
DF the degree form of a polynomial
discriminant the discriminant of a polynomial
FirstNonZero the first non-zero entry in a MODULEELEM
FirstNonZeroPosn the first non-zero entry in a MODULEELEM
gcd greatest common divisor
HilbertPoly the Hilbert polynomial
homog homogenize with respect to an indeterminate
indet individual indeterminates
Interpolate interpolating polynomial
interreduce, interreduced interreduce a list of polynomials
InverseSystem Inverse system of an ideal of derivations
IsInSubalgebra check if one polynomial is in a subalgebra
JanetBasis the Janet basis of an ideal
LC the leading coefficient of a polynomial or ModuleElem
lcm least common multiple
LF the leading form of a polynomial or an ideal
LM the leading monomial of a polynomial or ModuleElem
LogToTerm returns a monomial (power-product) with given exponents
LPP the leading power-product of a polynomial or ModuleElem
LT the leading term of an object
MinPoly minimal polynomial of a matrix
monic divide polynomials by their leading coefficients
NF normal form
NmzIntClosureMonIdeal integral closure of a monomial ideal
NmzIntClosureToricRing integral closure of a toric ring
NmzNormalToricRing normalization of a toric ring
NR normal reduction
num numerator
one one of a ring
pfaffian the Pfaffian of a skew-symmetric matrix
PthRoot Compute p-th root
QZP change field for polynomials and ideals
randomize randomize the coefficients of a given polynomial
randomized randomize the coefficients of a given polynomial
ReducedGBasis compute reduced Groebner basis
resultant the resultant of two polynomials
RingElem convert an expression into a RINGELEM
SubalgebraRepr representation of a polynomial as a subalgebra element
SymbolRange range of symbols for the indeterminates of a PolyRing
zero zero of a ring
ZPQ change field for polynomials and ideals