Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
140 0 |
SM ISO690:2012 ARNAUTOV, Vladimir, AUTOR, Nou. On Prebox Module Topologies. In: Mathematical Notes, 2003, vol. 74, pp. 12-17. ISSN 0001-4346. DOI: https://doi.org/10.1023/A:1025054729911 |
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Mathematical Notes | ||||||
Volumul 74 / 2003 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
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DOI:https://doi.org/10.1023/A:1025054729911 | ||||||
Pag. 12-17 | ||||||
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Let R be a complete topological division ring whose topology is determined by a real-valued, valuation, and let M be a vector space over R. It is proved that M admits a Hausdorff module topology preceding the box topology in the lattice of all module topologies if and only if the dimension of the vector space M over R is a measurable cardinal. |
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Cuvinte-cheie Coatom in a lattice of topologies, Measurable cardinal, Module topology, Prebox module topology, Premaximal module topology |
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