Topology Atlas | Conferences


Knots in Washington XLV
December 8-10, 2017
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Order Relations on Computable Magmas
by
Trang Ha
GWU
Coauthors: Valentina Harizanov

A magma is computable if there is an algorithm to decide the membership of its elements and the magma’s binary operation is computable. We discuss order relations on computable magmas. We will show conditions for a magma to be orderable, Turing degrees, and description of the space of orders. We also consider orderings on some examples of non associative magmas such as quandles and racks.

Date received: December 5, 2017


Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboj-27.