Jaffard families and localizations of star operations

D Spirito - 2019 - projecteuclid.org
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 …

Radical semistar operations

D Spirito - Communications in Algebra, 2023 - Taylor & Francis
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 …

Decomposition and classification of length functions

D Spirito - Forum Mathematicum, 2020 - degruyter.com
We study decompositions of length functions on integral domains as sums of length
functions constructed from overrings. We find a standard representation when the integral …

[HTML][HTML] The Zariski topology on sets of semistar operations without finite-type assumptions

D Spirito - Journal of Algebra, 2018 - Elsevier
We study, from a topological point of view, spaces of semistar operations without the
hypothesis that they are of finite type. In particular, we analyze when the space of all …

ON THE NUMBER OF SEMISTAR OPERATIONS OF SOME CLASSES OF PRUFER DOMAINS

A Mimouni - Bulletin of the Korean Mathematical Society, 2019 - koreascience.kr
The purpose of this paper is to compute the number of semistar operations of certain classes
of finite dimensional $ Pr {\ddot {u}} fer $ domains. We prove that ${\mid} SStar …

[HTML][HTML] Corrigendum to “The Zariski topology on sets of semistar operations without finite-type assumptions”[J. Algebra 513 (2018) 27–49]

D Spirito - Journal of Algebra, 2020 - Elsevier
Corrigendum to “The Zariski topology on sets of semistar operations without finite-type
assumptions” [J. Algebra 513 (2018) 27–49] - ScienceDirect Skip to main contentSkip to article …