100%.
One thing I want to add that's not in the article is that Khwarizmi means "from Khwarizm", which was an old Persian kingdom. Today it's part of Uzbekistan, but mind you a solid chunk of Persians (called Tajiks now) still live there.
The word algebra comes from the title of a book called Al-Jabr, written around the year 820 by a Persian mathematician named Muhammad ibn Musa al-Khwarizmi at the House of Wisdom in Baghdad — and the word algorithm comes from the Latinized version of his name
By Space Daily Editorial Team
Books about Algebra at PG:
https://www.gutenberg.org/ebooks/subject/3914