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Well-foundedness conditions connected with left-distributivity
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Laver, Richard and Moody, John Atwell. (2002) Well-foundedness conditions connected with left-distributivity. Algebra Universalis , Vol.47 (No.1). pp. 65-68. ISSN 0002-5240
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Official URL: http://dx.doi.org/10.1007/s00012-002-8175-2
Abstract
We state a problem about free left-distributive algebras. If u and w are members of such an algebra write u <(L) w if w = (((uu(0))u(1))...)u(n) for some u(0), ... , u(n). A conjecture about left-division in such algebras is given; it entails a normal form and that for every w the set of left divisors of w is well-ordered under <(L).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Algebra Universalis |
| Publisher: | Birkhaeuser Verlag AG |
| ISSN: | 0002-5240 |
| Date: | 2002 |
| Volume: | Vol.47 |
| Number: | No.1 |
| Number of Pages: | 4 |
| Page Range: | pp. 65-68 |
| Identification Number: | 10.1007/s00012-002-8175-2 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/10900 |
Data sourced from Thomson Reuters' Web of Knowledge
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