A non-recourse loan is a loan secured by collateral where the lender's recovery is limited to that collateral. If the borrower defaults, the lender can foreclose on or repossess the property, but the borrower is not personally liable for any balance the property fails to cover. The IRS, which spells it "nonrecourse," draws the line by personal liability alone: "Debt for which you are personally liable is recourse debt. All other debt is nonrecourse debt."
The contrast is a recourse loan, where the borrower promises to repay personally. On a recourse loan the lender can take the collateral and then, subject to state law, pursue the borrower for the deficiency. Whether a loan is non-recourse depends on its terms and on any statute that limits the lender's remedies; the name a lender or seller uses does not settle it.