Today the set-theoretic operations of intersection $\cap$ [German: *Durchschnitt*] and union $\cup$ [German: *Vereinigung*] are standard.

The modern notations are present in the first edition of van der Waerden's *Moderne Algebra* (1930). However, the notation is mostly missing from Steinitz' *Algebraische Theorie der Körper* (1910), which was a precursor of van der Waerden. Instead of *Menge* (for set), Steinitz uses *System*. The term *Durchschnitt* is present in Steinitz, but the word *Vereinigung* and the symbols $\cap,\cup$ are missing.

Has anything been written on the history of set-theoretic language in algebra?