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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. doi:10.1007/s00012-002-8175-2 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Algebra Universalis | ||||
Publisher: | Birkhaeuser Verlag AG | ||||
ISSN: | 0002-5240 | ||||
Official Date: | 2002 | ||||
Dates: |
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Volume: | Vol.47 | ||||
Number: | No.1 | ||||
Number of Pages: | 4 | ||||
Page Range: | pp. 65-68 | ||||
DOI: | 10.1007/s00012-002-8175-2 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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