Braid groups and left distributive operations
نویسندگان
چکیده
منابع مشابه
Braid Groups and Left Distributive Operations
An extension of the infinite braid group B∞ exactly describes the left distributivity identities. These identities form a decidable family. The group B∞ is closely connected with the free left distributive structure with one generator, and inherits some order properties with simple topological meaning. A quick comparison algorithm for braid words is also given. The first aim of this paper is to...
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We complete Artin’s braid group B∞ with some limit points (with respect to a natural topology), thus obtaining an extended monoid where new left self-distributive operations are defined. This construction provides an effective realization for some free algebraic system involving a left distributive operation and a compatible associative product. AMS Subject classification: 20F36, 20N02 Here we ...
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Acknowledgement I wish to thank to everybody I learned anything from during past twenty six years. Above all, to my advisor, Jaroslav Ježek, for his support and insightful advices. To my inofficial coadvisor, Ralph McKenzie, for numerous inspirative conversations and for financial and other support during my stay at Vanderbilt University in Nashville. To Věra Trnková, Aleš Drápal, Tomáš Kepka, ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1994
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1994-1214782-4