The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

Autor:	Saif Salam, Khaldoun Al-Zoubi
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	graded primary submodules graded primary spectrum zariski topology Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 23, Iss 2, Pp 345-361 (2022)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2022.16332
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1d0e9f73f84f4bdea82d8a44552bfcb8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF