Talk:Glossary of ring theory
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Many important terms are missing, but I am afraid that I am not able to compete it. -- Wshun
Regarding idempotent - isn't an element e of a ring idempotent if there exists some natural number n (not necessarily 2) such that e^n = e? -- Schnee 12:57, 6 Aug 2003 (UTC)
I've never seen the term defined that way. Perhaps you are confusing this with nilpotent? -- Toby Bartels 03:05, 24 Aug 2003 (UTC)
TBOMK, "idempotent" means e^2 = e, "nilpotent" means e^n = 0. Revolver
Of course, if x^2=1, then for all n, x^2n=1 and so x^(2n+1)=x. So Schnee's remark follows for odd n (only). Mousomer 26 Jan 2004
Terminology issue:
Please cite your source for the word rng, which as I mentioned earlier is the customary definition of a ring.
S. A. G.