Carrés cartésiens et anneaux de pseudo-valuation
Carrés cartésiens et couples d'anneaux ayant les mêmes idéaux premiers
Sur le plongement projectif des surfaces définies sur un corps de base fini
Quelques nouveaux résultats sur une classe d'espaces spectraux
Viene studiata una classe di spazi spettrali [5], la topologia dei quali è determinata dall’ordinamento; si ottengono delle nuove caratterizzazioni dei -anelli [11] anche in relazione ai GD-omomorfismi [6].
Epimorfismi e monomorfismi nella teoria delle categorie concrete
Conditions are given for epimorphisms (monomorphisms) in a concrete category to be surjective (injective) in the set-theoretical sense.
Sur les anneaux et schémas co—discrets
Si studiano anelli in cui ogni ideale proprio è radicale; si ottengono per globalizzazione strutture schematiche per le quali vengono dimostrate alcune basilari proprietà locali e globali.
Classes of commutative rings characterized by going-up and going-down behavior
Some applications of the ultrafilter topology on spaces of valuation domains, Part I
In the present note we introduce the basic definitions and the main results concerning the spaces of valuation domains needed in the subsequent Part II.
Some applications of the ultrafilter topology on spaces of valuation domains, Part II
Let be a field and be a subring of . In the present note, we present the main applications of the so called on the space , introduced in the previous Part I. After recalling that is a spectral space, we give an explicit description of as the prime spectrum of a ring (even in the case when the quotient field of is a proper subfield of ). Moreover, we provide applications of the topological material previously introduced to the study of representations of integrally closed domains and...
A spectral construction of a treed domain that is not going-down
A “-operation free” approach to Prüfer -multiplication domains.
Universally catenarian domains of D M type. II.
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