Prime ideal structure in commutative rings

@article{Hochster1969PrimeIS,
  title={Prime ideal structure in commutative rings},
  author={Melvin Hochster},
  journal={Transactions of the American Mathematical Society},
  year={1969},
  volume={142},
  pages={43-60}
}
  • M. Hochster
  • Published 1 August 1969
  • Mathematics
  • Transactions of the American Mathematical Society
0. Introduction. Let ' be the category of commutative rings with unit, and regard Spec (as in [1]) as a contravariant functor from ' to g$7 the category of topological spaces and continuous maps. The spaces of the form Spec A, A a ring (ring always means object of '), are well known to have many special properties. It is worthwhile to discover whether these well-known properties of the spaces characterize them, since we then will know the limitations of the topological approach. As a by-product… 

PRIME IDEAL STRUCTURE IN COMMUTATIVE RINGSC)

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  • Mathematics
    Canadian Journal of Mathematics
  • 1971
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References

Rings of continuous functions

Contents: Functions of a Topological Space.- Ideals and Z-Filters.- Completely Regular Spaces.- Fixed Ideals. Compact Spaces.- Ordered Residue Class Rings.- The Stone-Czech Compactification.-