A. A bond, note, or other written obligation to a person or persons who, or some of whom, are dead at the time of its execution may be proceeded on in the name of the personal representative of such person, or the survivors or survivor, or of the representative of the last survivor of such persons.
B. If one person bound either jointly or as a partner with another by a judgment, bond, note, or otherwise for the payment of a debt, or the performance or forbearance of an act, or for any other thing, die in the lifetime of such other, the representative of the decedent may be charged in the same manner as the decedent might have been charged, if those bound jointly or as partners, had been bound severally as well as jointly, otherwise than as partners.