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Timeline for Idempotent non-associative algebras

Current License: CC BY-SA 3.0

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Apr 13, 2017 at 12:58 history edited CommunityBot
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Dec 7, 2011 at 13:59 comment added user6976 @Andreas: An "idempotent" ring is a ring $R$ with the property that $R*R$ generates $R$ as an Abelian group (i.e. every element is a sum of products). Certainly the free idempotent generated ring is "idempotent". I do not see how it can be generated as an ideal by one element.
Dec 7, 2011 at 12:47 comment added Andreas Thom I do not know. I have no experience with general non-associative algebras. It is already hard to construct idempotent examples; the free non-associative ring on $n$ idempotents does not look idempotent.
Dec 6, 2011 at 22:35 history edited user6976 CC BY-SA 3.0
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Dec 6, 2011 at 20:39 comment added user6976 How about general non-associative algebras?
Dec 6, 2011 at 20:37 comment added Andreas Thom We thought about Lie algebras too, but could not see any chance to control the number of generators as a 2-sided ideal.
Dec 6, 2011 at 19:03 history edited Andreas Thom CC BY-SA 3.0
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Dec 6, 2011 at 19:00 history edited user6976 CC BY-SA 3.0
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Dec 6, 2011 at 18:49 history asked user6976 CC BY-SA 3.0