# When and where did the term “module” enter commutative algebra?

Bruns/Herzog "Cohen-Macaulay-Rings" has a note in the notes for Chapter 1, saying roughly that after the influx of homological algebra into commutative ring theory, modules became popular objects (instead of ideals). They cite Gröbner's 1949 book "Moderne algebraische Geometrie" as the birthplace of "Vektormoduln", which are submodules of free modules. When did the term "module" (with its current definition) appear first, and why would the word "module" be chosen for this concept?

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Just one trivial note: Ideals are modules! When I learned this, I thought that it was a cool fact. – Spice the Bird Oct 5 '11 at 20:13
The site jeff560.tripod.com/s.html has answers to many of these types of questions. There is an entry for module. – Chris Oct 5 '11 at 20:26