Non-recourse factoring is the more common name for factoring without recourse: a business sells its unpaid invoices to a factor, and the factor, not the seller, bears the loss if the customer fails to pay because of insolvency. The main entry describes how the arrangement works, what it costs and how it is accounted for.
The two names mean the same thing. Non-recourse factoring is the usual wording in sales material and in the United States, while accounting and legal texts tend to speak of a sale of accounts receivable without recourse. In either case the protection is narrower than the name suggests. The factor normally covers only the customer's inability to pay, up to a credit limit it has approved for that customer, and it can still charge back invoices that are disputed over quality, quantity or delivery. Factors often cover the risk they assume with trade credit insurance.
The alternative is recourse factoring, in which the seller must buy back or replace invoices that go unpaid. Non-recourse terms carry higher fees and stricter customer approval, but they are more likely to allow the seller to remove the receivables from its balance sheet. Both are forms of receivables finance.