Zariski topology on the spectrum of graded classical prime submodules

Yousefian Darani, AhmadMotmaen, Shahram2013-10-162013-10-162013-10-011576-9402https://riunet.upv.es/handle/10251/32889[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either am ¿ N or bm ¿ N. The spectrum of graded classical prime submodules of M is denoted by Cl.Specg(M). We topologize Cl.Specg (M) with the quasi-Zariski topology, which is analogous to that for Specg(R).Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Graded prime idealZariski topologyquasi-Zariski topologyZariski topology on the spectrum of graded classical prime submodulesArtículo2013-10-1610.4995/agt.2013.1586Abierto1989-4147