Cations HR3N+ formed by hydronation of an amine R3N. RNRI Rule RC-81.1.1.2. "Non-quaternary ammonium ions" is a synonymous term. E.g. prolinium, PhN+HMe 2 N,N-dimethylanilinium.
Note. If a class X can be hydronated to Xium ions the class Xium ions commonly includes the derivatives formed by the replacement of the added hydron with a hydrocarbyl group. Aminium ions form an exception, made possible by the availability of the class name ammonium ions. See also onium compounds.