Timeline for Idempotent non-associative algebras
Current License: CC BY-SA 3.0
9 events
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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 |
added a question
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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 |
edited title
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Dec 6, 2011 at 19:00 | history | edited | user6976 | CC BY-SA 3.0 |
added 48 characters in body; edited title
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Dec 6, 2011 at 18:49 | history | asked | user6976 | CC BY-SA 3.0 |