Sweden Residence Permit for Mother.

Hello,.

My Mom has Indian Citizenship. She is resident of USA . And a USA Green card holder.  She had visited couple times to SWEDEN on Visit VISA. Her Youngest son lives there. My brother now SWEDEN Citizen wanted to apply for Resident Permit for her, So she can stay more than 3 months.

How long this residence Permit Valid?
Can my mom maintain Residence permit of Sweden and USA GREEN CARD both at the same time?.
What are the benefits of  Residence permit of Sweden?.
Pl let us know.

Thanks

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