[图书][B] Spectral spaces

M Dickmann, N Schwartz, M Tressl - 2019 - books.google.com
Spectral spaces are a class of topological spaces. They are a tool linking algebraic
structures, in a very wide sense, with geometry. They were invented to give a functional …

[PDF][PDF] The Zariski topology on the graded classical prime spectrum of a graded module over a graded commutative ring

K Al-Zoubi, M Jaradat - Mat. Vesnik, 2018 - elib.mi.sanu.ac.rs
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. A proper graded submodule N of M is called a graded classical prime if whenever r …

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 …

Prime submodules and a sheaf on the prime spectra of modules

D Hassanzadeh-Lelekaami… - Communications in …, 2014 - Taylor & Francis
Full article: Prime Submodules and a Sheaf on the Prime Spectra of Modules Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

The graded classical prime spectrum with the Zariski topology as a Notherian topological space

M Jaradat - Iranian Journal of Mathematical Sciences and …, 2022 - ijmsi.ir
Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a
graded R-module. The graded classical prime spectrum Cl. Spec g (M) is defined to be the …

Associated graphs of modules over commutative rings

A Abbasi, H Roshan-Shekalgourabi… - نشریه علوم ریاضی و …, 2015‎ - ijmsi.ir
Let R be a commutative ring with identity and let M be an R-module. In this paper we
introduce a new graph associated to modules over commutative rings. We study the …

[PDF][PDF] Spectrality and monoids

A Goswami - arXiv preprint arXiv:2407.04644, 2024 - arxiv.org
arXiv:2407.04644v1 [math.RA] 5 Jul 2024 Page 1 arXiv:2407.04644v1 [math.RA] 5 Jul 2024
SPECTRALITY AND MONOIDS AMARTYA GOSWAMI A . We prove that the set of proper ideals …

Topological properties of some classes of submodules

A Goswami - arXiv preprint arXiv:2304.07692, 2023 - arxiv.org
We study the topology of a class of proper submodules and some of its distinguished
subclasses and call them structure spaces. We give several criteria for the quasi …

[PDF][PDF] Modules whose Primary-Like Spectra with Zariski-Like Topology are Noetherian Spaces

HF Moghimi, F Rashedi - Italian Journal Of Pure And Applied …, 2017 - ijpam.uniud.it
Let R be a commutative ring with identity and M be a unital R-module. The primary-like
spectrum SpecL (M) is the collection of all primary-like submodules Q of M such that M/Q is a …

[PDF][PDF] On the prime spectrum of modules

H Ansari-Toroghy, SS Pourmortazavi - Miskolc Mathematical Notes, 2015 - real.mtak.hu
ON THE PRIME SPECTRUM OF MODULES Page 1 Miskolc Mathematical Notes HU e-ISSN
1787-2413 Vol. 16 (2015), No. 2, pp. 1233–1242 DOI: 10.18514/MMN.2015.1102 ON THE …