The Algebraic Theory of Modular SystemsCambridge University Press, 14 d’abr. 1994 - 112 pàgines Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term "Cohen-Macaulay ring," however, it is less well known that he pioneered several other fundamental ideas, including the concept of the Gorenstein ring and the use of injective modules, ideas that were not systematically developed until considerably later in this century. In this reissue, an introduction by Professor Paul Roberts describes the influence of Macaulay's ideas on recent developments in the subject as well as other changes in the field since then. The background to Macaulay's thinking is discussed, and the development of modern theory is outlined. |
Continguts
Any inverse function for degree t can be continued | 1 |
THE RESULTANT | 3 |
Resultant isobaric and of weight L | 11 |
Examples on the resolvent | 17 |
All the solutions of F₁F F0 are obtainable from | 25 |
Space cubic curve has a basis consisting of two members | 37 |
41 | 43 |
UNMIXED MODULES | 49 |
35588 | 65 |
µv + µrµvµv where l+ly1 | 83 |
Any module of rank n is perfect | 98 |
Altres edicions - Mostra-ho tot
Frases i termes més freqüents
a₁ a₂ associated prime basis C₁ coefficients of F Commutative Algebra complete resolvent contain a relevant contain the spread corresponding dialytic array dimension E₁ elements equations F₁ F. S. Macaulay F=0 mod F₂ finite number given module Gorenstein ring H-basis H-module Hence homogeneous polynomials imbedded inverse array inverse function inverse system irreducible factor irreducible spread Lasker linearly independent M₁ Macaulay Macaulay's member of F1 members of degree mod F1 modular equations modular systems module F1 module of rank modules contains multiplicity mutually residual Noetherian equations Noetherian module P₁ P₂ polynomial F polynomial ring power products power series primary ideals prime ideal prime module principal class principal system proved rational functions relevant primary modules relevant simple module relevant spread rows set of solutions theorem theory true linear factors u-resolvent u₁ vanish identically variables whole function x₁ xn-an xr+1 zero
Referències a aquest llibre
Discriminants, Resultants, and Multidimensional Determinants Izrailʹ Moiseevich Gelʹfand,Mikhail M. Kapranov,Andrey V. Zelevinsky Previsualització no disponible - 1994 |
Using Algebraic Geometry David A Cox,John Little,Donal O'Shea Previsualització no disponible - 2005 |