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https://hdl.handle.net/10216/90083
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DC Field | Value | Language |
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dc.creator | Abuhlail, J | |
dc.creator | Christian Lomp | |
dc.date.accessioned | 2022-09-09T20:01:32Z | - |
dc.date.available | 2022-09-09T20:01:32Z | - |
dc.date.issued | 2016 | |
dc.identifier.issn | 0219-4988 | |
dc.identifier.other | sigarra:120626 | |
dc.identifier.uri | https://hdl.handle.net/10216/90083 | - |
dc.description.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. | |
dc.language.iso | eng | |
dc.rights | openAccess | |
dc.subject | Álgebra, Matemática | |
dc.subject | Algebra, Mathematics | |
dc.title | On topological lattices and their applications to module theory | |
dc.type | Artigo em Revista Científica Internacional | |
dc.contributor.uporto | Faculdade de Ciências | |
dc.identifier.doi | 10.1142/s0219498816500468 | |
dc.identifier.authenticus | P-00K-5GZ | |
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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