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Attaching topological spaces to a module (I): Sobriety and spatiality |
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| Authors: | Mauricio Medina-Bárcenas Lorena Morales-Callejas Martha Lizbeth Shaid Sandoval-Miranda Ángel Zaldívar-Corichi |
| Affiliation: | 1. Instituto de Matemáticas, Universidad Nacional Autónoma de México, área de Investigación Científica, Circuito Exterior, C.U., 04510, México, D.F., Mexico;2. Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, 04510, México, D.F., Mexico |
| Abstract: | In this paper we study some frames associated to an R-module M. We define semiprimitive submodules and we prove that they form an spatial frame canonically isomorphic to the topology of . We characterize the soberness of in terms of the point space of that frame. Beside of this, we study the regularity of an spatial frame associated to M given by annihilator conditions. |
| Keywords: | Corresponding author. |
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