skýrjan
Skýrjan is a term that may appear in Icelandic texts but is not a standard dictionary form in Modern Icelandic. The typical word for an explanation is skýring, with the definite form usually treated as skýringin in ordinary usage. As a result, skýrjan, when encountered, is more likely to be a dialectal variant, an older orthography, or, more commonly, a proper noun used as a name rather than a common noun.
Etymologically, skýrjan is linked to the verb skýra, meaning to explain or clarify, and it shares its
In practice, writers aiming for neutral, standard Icelandic should prefer skýring when referring to an explanation.