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Feb 8, 2014 at 21:49 comment added Hagen von Eitzen In todays German literature, it seems that Einselement (or even neutrales Element) is preferred over Einheit (which is used for units, i.e. invertible elements of a ring).
Dec 29, 2012 at 17:35 comment added Colin McLarty Well, Weber surely popularized the term. But his friend Dedekind used "einheit" before him to mean either a unit in a field, or a unit measure in geometry, and I'll bet if you look in his work you'll find it for groups. Probably if you dig into the 19th century you can find a series of earlier and earlier, vaguer and vaguer, uses of the term for a group identity.
Feb 9, 2012 at 9:08 vote accept Keivan Karai
Feb 7, 2012 at 20:55 comment added Jim Humphreys @Igor: The influential early textbooks on algebra tended to be written in German, unfair though that may be to those of us who grew up with English (or Russian). Quite a bit of common terminology and notation in mathematics seems to have originated in German work during the 19th century, such as the symbols $K,k$ for fields.
Feb 7, 2012 at 14:58 comment added Igor Rivin That is almost certainly the origin, though it should be noted that one in Russian is "edinica".
Feb 7, 2012 at 14:15 history answered user2035 CC BY-SA 3.0