Displaying similar documents to “The Normal Density of Prime Ideals in Small Regions.”

On associated and attached prime ideals of certain modules

K. Divaani-Aazar (2001)

Colloquium Mathematicae

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Primary and secondary functors have been introduced in [2] and applied to extend some results concerning asymptotic prime ideals. In this paper, the theory of primary and secondary functors is developed and examples of non-exact primary and non-exact secondary functors are presented. Also, as an application, the sets of associated and of attached prime ideals of certain modules are determined.

Chebotarev sets

Hershy Kisilevsky, Michael O. Rubinstein (2015)

Acta Arithmetica

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We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give necessary conditions for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.