Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/90083
Author(s): | Abuhlail, J Christian Lomp |
Title: | On topological lattices and their applications to module theory |
Issue Date: | 2016 |
Abstract: | Yassemi's "second submodules" are dualized and properties of its spectrum are studied. This is done by moving the ring theoretical setting to a lattice theoretical one and by introducing the notion of a (strongly) topological lattice L = (L, Lambda, V) with respect to a proper subset X of L. We investigate and characterize (strongly) topological lattices in general in order to apply it to modules over associative unital rings. Given a non-zero left R-module M, we introduce and investigate the spectrum Spec(f) (M) of first submodules of M as a dual notion of Yassemi's second submodules. We topologize Spec(f) (M) and investigate the algebraic properties of M by passing to the topological properties of the associated space. |
Subject: | Álgebra, Matemática Algebra, Mathematics |
URI: | https://repositorio-aberto.up.pt/handle/10216/90083 |
Document Type: | Artigo em Revista Científica Internacional |
Rights: | openAccess |
Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
Files in This Item:
File | Description | Size | Format | |
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120626.pdf | revised version of published paper | 331.18 kB | Adobe PDF | ![]() View/Open |
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