This is the 12742nd most frequent Russian word.
краткая
"Краткая" means "short" or "brief" in English.
The word "краткую" (brief) is used as an adjective modifying the noun "историю" (history), indicating that the history mentioned is summarized or concise.
Эта книга содержит краткую историю событий.
This book contains a brief history of events.
Here, "краткая" (brief) serves as an adjective describing "версия" (version), signifying that the version is abridged or shortened.
У нас есть краткая версия отчёта для ознакомления.
We have a brief version of the report for review.
In this sentence, "краткое" (brief) is an adjective qualifying "заявление" (statement), conveying that the statement was succinct.