| 31. | For Gr�bner bases, a further condition must be satisfied, namely that every non constant monomial is greater than the monomial.
|
| 32. | In particular, the property of " being " a Gr�bner basis is always relative to a specific monomial order.
|
| 33. | The defining property of monomial orderings implies that the order of the terms is kept when multiplying a polynomial by a monomial.
|
| 34. | The defining property of monomial orderings implies that the order of the terms is kept when multiplying a polynomial by a monomial.
|
| 35. | Let the coefficient of this term be, then is either zero or a symmetric polynomial with a strictly smaller leading monomial.
|
| 36. | If the Galois group is supersolvable or more generally monomial then all representations are of this form so the Artin conjecture holds.
|
| 37. | This is for instance the case when considering a monomial basis of a polynomial ring, or a monomial ordering of that basis.
|
| 38. | This is for instance the case when considering a monomial basis of a polynomial ring, or a monomial ordering of that basis.
|
| 39. | His work on Geometric Invariant Theory and on Schubert varieties, in particular his introduction of standard monomial theory, is widely recognized.
|
| 40. | Finding invariants for a given subgroup of is relatively easy; one can sum the orbit of a monomial under the action of.
|
