Database Relationship ??

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Hi,

I have confusion of representation of relationships in database schema suppose A ir private owner who owns B property for rent are tables as shown below

Table- PrivateOwner Table- Propertyfor_rent
Ownerno 0...1 (Powns ->) 1...* propertyno
lname -------------------------------------- street
address city

Please database experts can u tell exactly what are the above relationships show , i know 1..* means one to many or 1....1 ie one to one , but i want to know that relationship shown above ie 0...1 -------- 1..* from private owner who owns the property to property for rent means what ?. Is it 1...1 one to one relationship shown between them if yes , then why for individual table 0..1 and 1...* is shown , please clarify on this , thanks !!