Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
This Alexander had in his testament(8) appointed the Roman community his heir.
8. The disputed question, whether this alleged or real testament proceeded from Alexander I (d. 666) or Alexander II (d. 673), is usually decided in favour of the former alternative. But the reasons are inadequate; for Cicero (de L. Agr. i. 4, 12; 15, 38; 16, 41) does not say that Egypt fell to Rome in 666, but that it did so in or after this year; and while the circumstance that Alexander I died abroad, and Alexander II in Alexandria, has led some to infer that the treasures mentioned in the testament in question as lying in Tyre must have belonged to the former, they have overlooked that Alexander II was killed nineteen days after his arrival in Egypt (Letronne, Inscr, de I'Egypte, ii. 20), when his treasure might still very well be in Tyre.
On the other hand the circumstance that the second Alexander was the last genuine Lagid is decisive, for in the similar acquisitions of Pergamus, Cyrene, and Bithynia it was always by the last scion of the legitimate ruling family that Rome was appointed heir. The ancient constitutional law, as it applied at least to the Roman client- states, seems to have given to the reigning prince the right of ultimate disposal of his kingdom not absolutely, but only in the absence of -agnati- entitled to succeed. Comp. Gutschmid's remark in the German translation of S. Sharpe's History of Egypt, ii. 17. Whether the testament was genuine or spurious, cannot be ascertained, and is of no great moment; there are no special reasons for assuming a forgery.
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Reference address : https://www.ellopos.net/elpenor/rome/5-02-rule-sullan-restoration.asp?pg=20