My Master's thesis is about left symmetric left distributive (LSLD) groupoids, i.e. binary algebras satisfying the equations It consists of three main parts:
  1. An introduction containing a survey of results about left symmetric left distributive idempotent (LSLDI) groupoids (called also kei, symmetric sets, symmetric groupoids or involutory quandles by other authors). An improved version is here.
  2. LSLD operations on groups. An improved version appeared in Algebra Universalis 54/1 (2005), 97--103. Download here.
  3. Subdirectly irreducible LSLD groupoids. An improved version appeared in Discussiones Math. - General Algebra Appl. 24/2 (2004), 267--275. Download PDF here.
The whole thesis can be downloaded here.

[BACK]