Well-foundedness conditions connected with left-distributivity. (Q1771901)
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scientific article; zbMATH DE number 2158766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-foundedness conditions connected with left-distributivity. |
scientific article; zbMATH DE number 2158766 |
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Well-foundedness conditions connected with left-distributivity. (English)
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19 April 2005
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Let \(k\) be a cardinal. By the free left-distributive algebra \({\mathcal A}_k\) is meant a groupoid generated by \(k\) free generators satisfying the identity \(a(bc)=(ab)(bc)\). The purpose of the paper is to describe a conjecture connected with left division in \({\mathcal A}_k\) and three propositions related to it. The first statement of the conjecture is known to be true for \({\mathcal A}_1\).
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free left-distributive algebras
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normal forms
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left divisors
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braid groups
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