amidium ions

https://doi.org/10.1351/goldbook.A00268
Cations formally derived by the addition of one hydron to the $\ce{N}$ or $\ce{O}$ atom of an amide and $N$-hydrocarbyl derivatives thereof. In organic chemistry an unspecified amidium ion is commonly a carboxamidium ion
molecule
or
molecule
The term does not imply knowledge concerning the position of the cationic centre, e.g. $\ce{PhC(=O)N^{+}Me3}$ N,N,N-trimethylbenzamidium.
Source:
PAC, 1995, 67, 1307. (Glossary of class names of organic compounds and reactivity intermediates based on structure (IUPAC Recommendations 1995)) on page 1315 [Terms] [Paper]
See also:
PAC, 1993, 65, 1357. (Revised nomenclature for radicals, ions, radical ions and related species (IUPAC Recommendations 1993)) on page 1357 [Terms] [Paper]