Русско-англо-русский юридический словарь

A contract of guarantee is one by which a person accepts what is sometimes called a secondary liability to answer for the debt or default of another person who is primarily liable to a third. (Concise Contract Law by Peter Gillies)

Secondary liability refers to the responsibility of a person or entity that arises when the party directly liable fails to perform a duty. [...] It is a term commonly used in connection to those who guarantee a debt. In that context, it refers to a contingent requirement to pay a negotiable instrument upon dishonor or the failure to pay or accept by the party(-ies) primarily liable for the instrument. (USLegal)