In the present survey paper, we present several new classes of Hochster's spectral spaces
“occurring in nature,” actually in multiplicative ideal theory, and not linked to or realized in an …

An intersection of sets A= ⋂ _ i ∈ I B_i A=⋂ i∈ IB i is irredundant if no B_i B i can be omitted
from this intersection. We develop a topological approach to irredundance by introducing a …

A topological version of Hilbert's Nullstellensatz - ScienceDirect Skip to main contentSkip to
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We investigate, from a topological point of view, the classes of spectral semistar operations
and of eab semistar operations, following methods recently introduced in [11],[13]. We show …

We generalize the concept of localization of a star operation to flat overrings; subsequently,
we investigate the possibility of representing the set Star(R) of star operations on R as the …

It is well known that, in general, multiplication by an ideal $ I $ does not commute with the
intersection of a family of ideals, but that this fact holds if $ I $ is flat and the family is finite …

We study the sets of semistar and star operations on a semilocal Prüfer domain, with an
emphasis on which properties of the domain are enough to determine them. In particular, we …

We introduce and study the set of radical semistar operations of an integral domain D. We
show that their set is a complete lattice that is the join-completion of the set of spectral …

Full article: Towards a classification of stable semistar operations on a Prüfer domain Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

Let R=⨁ α∈ Γ R α be a graded integral domain. In this paper we study the space of
homogeneous preserving semistar operations on R. We show if⋆ is a homogeneous …