[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 …

The Zariski topology-graph of modules over commutative rings II

H Ansari-Toroghy, S Habibi - Arabian Journal of Mathematics, 2021 - Springer
Let M be a module over a commutative ring R. In this paper, we continue our study about the
Zariski topology-graph G (τ _T) G (τ T) which was introduced in Ansari-Toroghy et …

On a question concerning the Cohen's theorem

SS Pourmortazavi, S Keyvani - Journal of Algebra and Related …, 2023 - jart.guilan.ac.ir
Let $ R $ be a commutative ring with identity, and let $ M $ be an $ R $-module. The
Cohen's theorem is the classic result that a ring is Noetherian if and only if its prime ideals …

On Max-injective modules

R Ovlyaee, S Maleki-Roudposhti - Journal of Algebra and Related …, 2013 - jart.guilan.ac.ir
ON MAX-INJECTIVE MODULES 1. Introduction Throughout this article, R denotes a
commutative ring with non zero identity and all mo Page 1 Journal of Algebra and related …

On the graph of modules over commutative rings

H Ansari-Toroghy, S Habibi - 2016 - projecteuclid.org
Let M be a module over a commutative ring and let \Spec(M) be the collection of all prime
submodules of M. We topologize \Spec(M) with quasi-Zariski topology and, for a subset T of …

A module whose second spectrum has the surjective or injective natural map

H Ansari-Toroghy, SS Pourmortazavi - European Journal of Pure …, 2017 - arastirmax.com
Let R be a commutative ring and M be an R-module. Let Specs (M) be the set of all second
submodules of M. In this article, we topologize Specs (M) with Zariski and classical Zariski …

Study of Zariski Topology of Modules, between Theory and Practice

صابر محمد غيث, نهيل - 2021‎ - repository.najah.edu
This thesis contributes to study the Zariski topology of rings as well as it's generalization to
modules. The first part of the thesis introduce the Zariski topology of rings, several …

Primary zariski topology on the primary spectrum of a module

H Bijari, K Khashyarmanesh… - Journal of Algebraic …, 2020 - jas.shahroodut.ac.ir
‌‌Let $ R $ be a commutative ring with identity and let $ M $ be an $ R $-module‌. ‌We define
the primary spectrum of $ M $ ‌, ‌denoted by $\mathcal {PS}(M) $ ‌, ‌to be the set of all primary …

Torsion modules and spectral spaces

H Roshan-Shekalgourabi - 대한수학회논문집, 2019 - dbpia.co.kr
Torsion modules and spectral spaces - 대한수학회논문집 - 대한수학회 : 논문 - DBpia 메뉴 건너
뛰기 DBpia 전체 search 검색하기 상세검색 최근 검색 키워드가 없습니다. 최근 검색어 전체삭제 …

[PDF][PDF] The quasi-Zariski topology-graph on the maximal spectrum of modules over commutative rings

H Ansari-Toroghy, S Habibi - Analele ştiinţifice ale Universităţii" …, 2018 - sciendo.com
Let M be a module over a commutative ring and let Max (M) be the collection of all maximal
submodules of M. We topologize Max (M) with quasi-Zariski topology, where M is a Max-top …