Vladimir Andrunachievici Institute of Mathematics and Computer Science
Moldova State University
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QRS v.15, n.1 (17), 2007
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Advances in loop rings and their loops
Authors:
E. G. Goodaire
Abstract
We describe some of the advances in the theory of loops whose loop rings satisfy ''interesting'' identities that have taken place in the past ten years.
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Contents
Advances in loop rings and their loops
Central automorphisms of Latin square designs and loops
Loops related to geometric structures
Computing with small quasigroups and loops
Connected transversals and multiplication groups of loops
Four lectures on quasigroup representations
Gyrogroups, the grouplike loops in the service of hyperbolic geometry and Einstein's special theory of relativity
Transversals in latin squares