Left-distributive embedding algebras
نویسندگان
چکیده
منابع مشابه
Left-distributive Embedding Algebras
We consider algebras with one binary operation and one generator, satisfying the left distributive law a (b c) = (a b) (a c); such algebras have been shown to have surprising connections with set-theoretic large cardinals and with braid groups. One can construct a sequence of nite left-distributive algebras An, and then take a limit to get an in nite left-distributive algebra A1 on one generato...
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We consider algebras with one binary operation and one generator (monogenic) and satisfying the left distributive law a (b c) = (a b) (a c). One can de ne a sequence of nite left-distributive algebras An, and then take a limit to get an in nite monogenic left-distributive algebra A1. Results of Laver and Steel assuming a strong large cardinal axiom imply that A1 is free; it is open whether the ...
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We consider algebras with one binary operation · and one generator (monogenic) and satisfying the left distributive law a · (b · c) = (a · b) · (a · c). One can define a sequence of finite left-distributive algebras An, and then take a limit to get an infinite monogenic leftdistributive algebra A∞. Results of Laver and Steel assuming a strong large cardinal axiom imply that A∞ is free; it is op...
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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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The paper investigates idempotent, reductive, and distributive groupoids, and more generally Ω-algebras of any type including the structure of such groupoids as reducts. In particular, any such algebra can be built up from algebras with a left zero groupoid operation. It is also shown that any two varieties of left k-step reductive Ω-algebras, and of right n-step reductive Ω-algebras, are indep...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 1997
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-97-00020-6