Prince's Sister Hints at Rift with Church ... They're Not Getting His Remains

Prince's sister wants to make one thing clear ... she, nor anyone in Prince's family is connected to Sunday's memorial planned by his church -- and the family won't be participating.

Tyka Nelson says, "I nor my brother's remains will be present at any Memorial or Funeral services." Jehovah's Witnesses in Minnetonka, Minnesota -- where Prince worshiped -- announced a private service this weekend.

She went on to say in a Facebook post ... she supports all memorials because the grieving process is unique to everyone who was connected to Prince, but wanted fans to know this weekend's service is NOT the highly anticipated public tribute.

She said that will be coming some time in August, and took what seems like a dig at all other memorials, saying ... "We feel inspired to celebrate his life and legacy in just the right way."