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Douglas Harper's Etymology Dictionary
floruit

"period during which a historical person's life work was done," 1843, Latin, literally "he flourished," third person singular perfect indicative of florere "to flourish, to bloom" (see flourish (v.)). Usually in abbreviation fl. The third person singular present subjunctive of the verb, floreat, sometimes is attached to proper names "to indicate the hope that the named person, institution, etc., may prosper" [OED].

Wiktionary
floruit

n. The time period during which a person, group, culture, etc. is at its peak.

Wikipedia
Floruit

Floruit ( or ), abbreviated fl. (or occasionally, flor.), in Latin meaning "he/she flourished", denotes a date or period during which a person was known to have been alive or active. In English, the word may also be used as a noun indicating the time when someone "flourished".