Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2021), pp. 3-10
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Mahdi Samiei; Hosein Fazaeli Moghimi. The q.Zariski topology on the quasi-primary spectrum of a ring. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2021), pp. 3-10. http://geodesic.mathdoc.fr/item/BASM_2021_3_a0/
@article{BASM_2021_3_a0,
author = {Mahdi Samiei and Hosein Fazaeli Moghimi},
title = {The {q.Zariski} topology on the quasi-primary spectrum of a ring},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {3--10},
year = {2021},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2021_3_a0/}
}
TY - JOUR
AU - Mahdi Samiei
AU - Hosein Fazaeli Moghimi
TI - The q.Zariski topology on the quasi-primary spectrum of a ring
JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY - 2021
SP - 3
EP - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/BASM_2021_3_a0/
LA - en
ID - BASM_2021_3_a0
ER -
%0 Journal Article
%A Mahdi Samiei
%A Hosein Fazaeli Moghimi
%T The q.Zariski topology on the quasi-primary spectrum of a ring
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2021
%P 3-10
%N 3
%U http://geodesic.mathdoc.fr/item/BASM_2021_3_a0/
%G en
%F BASM_2021_3_a0
Let $R$ be a commutative ring with identity. We topologize $\mathrm{q.Spec}(R)$, the quasi-primary spectrum of $R$, in a way similar to that of defining the Zariski topology on the prime spectrum of $R$, and investigate the properties of this topological space. Rings whose q.Zariski topology is respectively $T_0$, $T_1$, irreducible or Noetherian are studied, and several characterizations of such rings are given.