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http://hdl.handle.net/11547/11673
Title: | On the Weakly Second Spectrum of a Module |
Authors: | Ceken, Seçil |
Issue Date: | 2016 |
Abstract: | In this paper, we extend the definition of weakly second submodule of a module over a commutative ring to a module over an arbitrary ring. First, we investigate some properties of weakly second submodules. We define the notion of weakly second radical of a submodule and determine the weakly second radical of some modules. We also define the notion of weak m*-system and characterize the weakly second radical of a submodule in terms of weak m*-systems. Then we introduce and study a topology on the set of all weakly second submodules of a module. We give some results concerning irreducible subsets, irreducible components and compactness of this topological space. Finally, we investigate this topological space from the point of view of spectral spaces |
URI: | http://hdl.handle.net/11547/11673 |
ISSN: | 0354-5180 |
Appears in Collections: | Web Of Science |
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0354-51801604013C.pdf | 249.21 kB | Adobe PDF | View/Open |
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