What is a person called who is admitted to the rights of a limited partner after the original limited partner’s death?

The term used for a person who is admitted to the rights of a limited partner after the original limited partner's death is a substituted limited partner. This designation occurs when the rights and obligations of a deceased limited partner are transferred to their legal successor or heir, allowing that person to step into their role within the partnership.

In the context of partnership law, a limited partner has specific rights and obligations defined by the partnership agreement and state statutes. When a limited partner passes away, rather than the partnership dissolving or the rights being lost, the legal framework typically allows for a successor to assume those rights, as long as the existing partners consent to the substitution based on the partnership agreement.

This contrasts with terms like "ostensible partner," which refers to someone who appears to be a partner to third parties but is not officially recognized, and "liquidating partner," who is involved in winding up the affairs of the partnership. The term "general-limited partner" is not a standard designation in partnership law and may not accurately describe any specific role. Thus, substituted limited partner is the correct and recognized terminology for this situation.