TY - JOUR
AU - Salam, Saif
AU - Al-Zoubi, Khaldoun
PY - 2022/10/03
Y2 - 2024/02/28
TI - The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 23
IS - 2
SE -
DO - 10.4995/agt.2022.16332
UR - https://polipapers.upv.es/index.php/AGT/article/view/16332
SP - 345-361
AB - <p>Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M) having the Zariski topology on the graded prime spectrum SpecG(M) as a subspace topology, and investigate several topological properties of this topological space.</p>
ER -