"The word algebra comes from the Arabic: الجبر, romanized: al-jabr, lit. 'reunion of broken parts,[1] bonesetting[2]' from the title of the early 9th century book ʿIlm al-jabr wa l-muqābala "The Science of Restoring and Balancing" by the Persian mathematician and astronomer al-Khwarizmi."
I mean the word we use for it just happens to be Arabic. If anything it's more Indian and Hindu we, the west that is, just happen to get most of our exposure to it via the people who lived between us and them.