A Note on Density and the Dirichlet Condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F12%3A00376593" target="_blank" >RIV/67985807:_____/12:00376593 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S1793042112500479" target="_blank" >http://dx.doi.org/10.1142/S1793042112500479</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1793042112500479" target="_blank" >10.1142/S1793042112500479</a>

Result language
angličtina
Original language name
A Note on Density and the Dirichlet Condition
Original language description
Motivated by topological approaches to Euclid and Dirichlet's theorems on infinitude of primes, we introduce and study S-coprime topologies on a commutative ring R with an identity and without zero divisors. For infinite semiprimitive commutative domainR of finite character (i.e. every nonzero element of R is contained in at most finitely many maximal ideals of R), we characterize its subsets A for which the Dirichlet condition, requiring the existence of infinitely many pairwise nonassociated elementsfrom A in every open set in the invertible topology, is satisfied.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA201%2F07%2F0191" target="_blank" >GA201/07/0191: Algebraic, analytic and combinatorial number theory</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)