| Ideal Theory |
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Information AboutIdeal Theory |
| CATEGORIES ABOUT IDEAL THEORY | |
| history of mathematics | |
| ideals | |
| commutative algebra | |
| SHOPPER'S DELIGHT | |
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The ideal theory in question had been based on Elimination Theory , but in line with David Hilbert 's taste moved away from Algorithmic methods. Gröbner Basis theory has now reversed the trend, for Computer Algebra . The importance of the idea in general of a Module , more general than an ''ideal'', probably led to the perception that ''ideal theory'' was too narrow a description. Valuation Theory , too, was an important technical extension, and was used by Helmut Hasse and Oscar Zariski . Bourbaki used ''commutative algebra''; sometimes ''local algebra'' is applied to the theory of Local Ring s. D. G. Northcott 's 1953 Cambridge Tract ''Ideal Theory'' (reissued 2004 under the same title) was one of the final appearances of the name. |