Abstractly constructed prime spectra
A Facchini, CA Finocchiaro, G Janelidze - Algebra universalis, 2022 - Springer
The main purpose of this paper is a wide generalization of one of the results abstract
algebraic geometry begins with, namely of the fact that the prime spectrum Spec (R) Spec …
algebraic geometry begins with, namely of the fact that the prime spectrum Spec (R) Spec …
New distinguished classes of spectral spaces: a survey
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 …
“occurring in nature,” actually in multiplicative ideal theory, and not linked to or realized in an …
Ideal spaces: An extension of structure spaces of rings
Can there be a structure space-type theory for an arbitrary class of ideals of a ring? The
ideal spaces introduced in this paper allows such a study and our theory includes (but not …
ideal spaces introduced in this paper allows such a study and our theory includes (but not …
Topological entropy of a rational map over a complete metrized field
C Favre, TT Truong, J Xie - arXiv preprint arXiv:2208.00668, 2022 - arxiv.org
We prove that the topological entropy of any dominant rational self-map of a projective
variety defined over a complete non-Archimedean field is bounded from above by the …
variety defined over a complete non-Archimedean field is bounded from above by the …
Noncommutative tensor triangulated categories and coherent frames
VM Mallick, S Ray - arXiv preprint arXiv:2204.08794, 2022 - arxiv.org
We develop a point-free approach for constructing the Nakano-Vashaw-Yakimov-Balmer
spectrum of a noncommutative tensor triangulated category under some mild assumptions …
spectrum of a noncommutative tensor triangulated category under some mild assumptions …
Distinguished classes of ideal spaces and their topological properties
CA Finocchiaro, A Goswami… - Communications in …, 2023 - Taylor & Francis
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Proper spaces are spectral
A Goswami - arXiv preprint arXiv:2203.10967, 2022 - arxiv.org
arXiv:2203.10967v3 [math.AC] 19 Jun 2022 Page 1 arXiv:2203.10967v3 [math.AC] 19 Jun 2022
PROPER SPACES ARE SPECTRAL AMARTYA GOSWAMI A . Since Hochster’s work, spectral …
PROPER SPACES ARE SPECTRAL AMARTYA GOSWAMI A . Since Hochster’s work, spectral …
Lattices, spectral spaces, and closure operations on idempotent semirings
Spectral spaces, introduced by Hochster, are topological spaces homeomorphic to the prime
spectra of commutative rings. In this paper we study spectral spaces in perspective of …
spectra of commutative rings. In this paper we study spectral spaces in perspective of …
A new approach to the patch and flat topologies on a spectral space with applications
A Tarizadeh - Communications in Algebra, 2021 - Taylor & Francis
In this article, we use quite elementary and simple ideas to rebuild and study the patch and
flat topologies on the prime spectrum from a natural point of view (this new approach is …
flat topologies on the prime spectrum from a natural point of view (this new approach is …
Closure operations, continuous valuations on monoids and spectral spaces
S Ray - Journal of Algebra and Its Applications, 2020 - World Scientific
We present several naturally occurring classes of spectral spaces using commutative
algebra on pointed monoids. For this purpose, our main tools are finite type closure …
algebra on pointed monoids. For this purpose, our main tools are finite type closure …