Transfer of the notion of -rings to fibre products. (Transfert de la notion de -anneaux aux produits fibres.)
The envelope of a subcategory in topology and group theory.
An up-spectral space need not be -spectral.
Primitive words and spectral spaces.
-spaces and the Wallman compactification.
Two classes of locally compact sober spaces.
C-anneaux, E-anneaux et formule de la dimension
Quasi-homeomorphisms, Goldspectral spaces and Jacspectral spaces
In this paper, we deal with the study of quasi-homeomorphisms, the Goldman prime spectrum and the Jacobson prime spectrum of a commutative ring. We prove that, if is a quasi-homeomorphism, a sober space and a continuous map, then there exists a unique continuous map such that . Let be a -space, the injection of onto its sobrification . It is shown, here, that , where is the set of all locally closed points of . Some applications are also indicated. The Jacobson prime spectrum...
An extension theorem for sober spaces and the Goldman topology.
Universal mapping properties of some pseudovaluation domains and related quasilocal domains.
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