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:
- 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.
- LSLD operations on groups. An improved version appeared in
Algebra Universalis 54/1 (2005), 97--103. Download here.
- 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.
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