*PM : translation automorphism of a polynomial ring, id = 5720-- WP guess : translation automorphism of a polynomial ring-- Status:
42.
*PM : translation automorphism of a polynomial ring, id = 5720-- WP guess : translation automorphism of a polynomial ring-- Status:
43.
Thus, the graded algebras generated by elements of degree 1 are exactly, up to an isomorphism, the quotients of polynomial rings by homogeneous ideals.
44.
Then the Stanley Reisner ring is following truncation of the polynomial ring in " n " variables over "'k " ':
45.
One gives you the whole polynomial ring as the numerator and the other gives you the talk ) 14 : 14, 26 October 2010 ( UTC)
46.
The generators of degrees 4, 8, 12 generate a polynomial ring, which contains the square of Hermite's skew invariant of degree 18.
47.
In particular, many local problems in algebraic geometry may be attacked through the study of the generators of an ideal in a polynomial ring . ( cf.
48.
This section describes how the Hilbert series may be computed in the case of a quotient of a polynomial ring, filtered or graded by the total degree.
49.
The ring of symmetric polynomials with rational coefficients equals the rational polynomial ring \ mathbb Q [ p _ 1, \ ldots, p _ n ].
50.
In view of structure theorems on Hopf algebras by tensor product of a polynomial ring on generators of even degree with an exterior algebra on generators of odd degree.
