<?xml version='1.0' encoding='utf-8'?>
<CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'>
<cfResPubl>
<cfResPublId>ibn-ResPubl-197300</cfResPublId>
<cfResPublDate>2003-07-01</cfResPublDate>
<cfStartPage>12</cfStartPage>
<cfISSN>0001-4346</cfISSN>
<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/197300</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>On Prebox Module Topologies</cfTitle>
<cfKeyw cfLangCode='EN' cfTrans='o'>Coatom in a lattice of topologies; Measurable cardinal; Module topology; Prebox module topology; Premaximal module topology</cfKeyw>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>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.</p></cfAbstr>
<cfResPubl_Class>
<cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfResPubl_Class>
<cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId>
<cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfPers_ResPubl>
<cfPersId>ibn-person-640</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfPers_ResPubl>
<cfPersId>ibn-person-29267</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
</cfPers_ResPubl>
<cfFedId>
<cfFedIdId>ibn-doi-197300</cfFedIdId>
<cfFedId>10.1023/A:1025054729911</cfFedId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
<cfFedId_Class>
<cfClassId>31d222b4-11e0-434b-b5ae-088119c51189</cfClassId>
<cfClassSchemeId>bccb3266-689d-4740-a039-c96594b4d916</cfClassSchemeId>
</cfFedId_Class>
<cfFedId_Srv>
<cfSrvId>5123451</cfSrvId>
<cfClassId>eda2b2e2-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>5a270628-f593-4ff4-a44a-95660c76e182</cfClassSchemeId>
</cfFedId_Srv>
</cfFedId>
</cfResPubl>
<cfPers>
<cfPersId>ibn-Pers-640</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-640-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
<cfFamilyNames>Arnautov</cfFamilyNames>
<cfFirstNames>Vladimir</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfPers>
<cfPersId>ibn-Pers-29267</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-29267-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2003-07-01T24:00:00</cfStartDate>
<cfFamilyNames>Autor</cfFamilyNames>
<cfFirstNames>Nou</cfFirstNames>
</cfPersName_Pers>
</cfPers>
<cfSrv>
<cfSrvId>5123451</cfSrvId>
<cfName cfLangCode='en' cfTrans='o'>CrossRef DOI prefix service</cfName>
<cfDescr cfLangCode='en' cfTrans='o'>The service of issuing DOI prefixes to publishers</cfDescr>
<cfKeyw cfLangCode='en' cfTrans='o'>persistent identifier; Digital Object Identifier</cfKeyw>
</cfSrv>
</CERIF>